Tiger Algebra/core — Marathi @ Weblate: Trigonometry is a branch of mathematics that deals with the …

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Key V2-Trigonometry-WhyLearnThis

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Trigonometry is a branch of mathematics that deals with the relationships between angles and sides of triangles. It may sound complex, but trigonometry is actually quite useful in many real-life situations. Let's dive in and explore why learning trigonometry is important and how it relates to everyday life.
 
Understanding Angles: 
Trigonometry helps us understand angles and their measurements. Imagine you're planning a picnic with your friends, and you want to find the perfect spot to set up your picnic blanket. You can use trigonometry to determine the angle of the sun and find a shady spot to avoid direct sunlight.
 
Navigation and Distance: 
Trigonometry is crucial for navigation and calculating distances. When you're using a GPS or a map app on your phone to find the shortest route to a destination, it's actually using trigonometric functions to calculate distances and angles between different points.
 
Building and Construction: 
Trigonometry plays a vital role in architecture and construction. Architects and engineers use trigonometric concepts to design structures, determine the height of buildings, calculate angles for roofs, and ensure stability and safety in construction projects.
 
Astronomy and Celestial Navigation: 
Trigonometry has long been used in astronomy and celestial navigation. Ancient astronomers used trigonometric principles to measure distances between stars and planets. Today, trigonometry helps scientists understand the movement of celestial bodies and even explore space.
 
Sports and Games: 
Trigonometry can be found in various sports and games. For example, if you enjoy playing baseball or cricket, understanding the angles and trajectories of the ball can help you improve your aim. Trigonometry is also used in activities like billiards, golf, and even video games to calculate angles and predict movements.
 
Sound and Waves: 
Trigonometry is essential in the study of sound and waves. Musicians and audio engineers use trigonometric concepts to understand waveforms, harmonics, and frequencies. It helps in tuning musical instruments and designing sound systems.
 
These are just a few examples of how trigonometry is relevant to our daily lives. By learning trigonometry, you'll develop problem-solving skills, enhance your spatial reasoning, and gain a deeper understanding of the world around you. So, embrace trigonometry as a valuable tool that can be applied in various fields and make your everyday life more exciting and meaningful!

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Key	English	Marathi
TRIG_SEC_REFLECT_180	Reflecting the secant function with respect to 180 degrees.	180 अंशांशी संबंधित सेकेंट कार्याची प्रतिबिंब तयार करणे.
TRIG_MUL_FRAC_FRAC	Multiplying two fractions together.	दोन भिन्नांचे एकत्र गुणाकार करणे.
TRIG_SQUARE_SQRT	Squaring the square root of a number.	एका संख्येच्या वर्गमुळचे वर्ग करणे.
TRIG_RATIONALIZE_DENOM	Rationalizing the denominator of a fraction.	एका भिन्नाच्या हरकटील तर्कसंगतपणा करणे.
TRIG_RECIPROCAL_RECIPROCAL	Computing the reciprocal of a reciprocal.	एका परस्परपणाची गणना करणे.
TRIG_RECIPROCAL_FRAC	Computing the reciprocal of a fraction.	एका भिन्नाच्या परस्परपणाची गणना करणे.
TRIG_MULTIPLY_SAME_NUMER_DENOM	Multiplying the same number with the numerator and denominator of a fraction.	भिन्नाच्या अंश आणि हरकट दोन्ही प्रमाणांवर एकाच संख्येचे गुणाकार करणे.
TRIG_MOVE_SUB_LHS	Moving the subtraction term to the left-hand side.	उपनिषेद म्हणजेच वडावन्याची पद्धत बायीकडे हलवीत आहे.
TRIG_MOVE_SUB_RHS	Moving the subtraction term to the right-hand side.	उपनिषेद म्हणजेच वडावन्याची पद्धत उजवीकडे हलवीत आहे.
TRIG_REFLECT_360	Reflecting the number with respect to 360 degrees.	संख्या 360 अंशांच्या प्रमाणे प्रतिबिंबित करणे.
TRIG_REFLECT_180	Reflecting the number with respect to 180 degrees.	संख्या 180 अंशांच्या प्रमाणे प्रतिबिंबित करणे.
TRIG_REFLECT_90	Reflecting the number with respect to 90 degrees.	संख्या 90 अंशांच्या प्रमाणे प्रतिबिंबित करणे.
TRIG_REFLECT_TRIG_360	Reflecting the trigonometric function with respect to 360 degrees.	त्रिज्यामितीय कार्य 360 अंशांच्या प्रमाणे प्रतिबिंबित करणे.
TRIG_REFLECT_TRIG_180	Reflecting the trigonometric function with respect to 180 degrees.	त्रिज्यामितीय कार्य 180 अंशांच्या प्रमाणे प्रतिबिंबित करणे.
TRIG_REFLECT_TRIG_90	Reflecting the trigonometric function with respect to 90 degrees.	त्रिज्यामितीय कार्य 90 अंशांच्या प्रमाणे प्रतिबिंबित करणे.
V2-Trigonometry-WhyLearnThis	<b>Trigonometry</b> is a branch of mathematics that deals with the relationships between angles and sides of triangles. It may sound complex, but trigonometry is actually quite useful in many real-life situations. Let's dive in and explore why learning trigonometry is important and how it relates to everyday life. <br><br> <b>Understanding Angles:</b><br> Trigonometry helps us understand angles and their measurements. Imagine you're planning a picnic with your friends, and you want to find the perfect spot to set up your picnic blanket. You can use trigonometry to determine the angle of the sun and find a shady spot to avoid direct sunlight. <br><br> <b>Navigation and Distance:</b><br> Trigonometry is crucial for navigation and calculating distances. When you're using a GPS or a map app on your phone to find the shortest route to a destination, it's actually using trigonometric functions to calculate distances and angles between different points. <br><br> <b>Building and Construction:</b><br> Trigonometry plays a vital role in architecture and construction. Architects and engineers use trigonometric concepts to design structures, determine the height of buildings, calculate angles for roofs, and ensure stability and safety in construction projects. <br><br> <b>Astronomy and Celestial Navigation:</b><br> Trigonometry has long been used in astronomy and celestial navigation. Ancient astronomers used trigonometric principles to measure distances between stars and planets. Today, trigonometry helps scientists understand the movement of celestial bodies and even explore space. <br><br> <b>Sports and Games:</b><br> Trigonometry can be found in various sports and games. For example, if you enjoy playing baseball or cricket, understanding the angles and trajectories of the ball can help you improve your aim. Trigonometry is also used in activities like billiards, golf, and even video games to calculate angles and predict movements. <br><br> <b>Sound and Waves:</b><br> Trigonometry is essential in the study of sound and waves. Musicians and audio engineers use trigonometric concepts to understand waveforms, harmonics, and frequencies. It helps in tuning musical instruments and designing sound systems. <br><br> These are just a few examples of how trigonometry is relevant to our daily lives. By learning trigonometry, you'll develop problem-solving skills, enhance your spatial reasoning, and gain a deeper understanding of the world around you. So, embrace trigonometry as a valuable tool that can be applied in various fields and make your everyday life more exciting and meaningful!	<b>त्रिज्यामिती</b> ही गणिताची एक शाखा आहे ज्यामध्ये त्रिभुजाच्या कोनांमधील व सोन्यांमधील संबंधांचा अभ्यास केला जातो. हे किंवा जटिल असलेले असलेले दिसणारे असले तरी, प्रत्यक्ष जीवनात त्रिज्यामिती याचा खूप उपयोग होतो. हे समजतो क्या त्रिज्यामिती याचे अभ्यास करणे महत्त्वचे असे आणि हे दररोजच्या जीवनाशी कसे संबंधित आहे ह्याचा शोध घेतल्या जावा.
V2-Derivative-WhyLearnThis	Ever wondered how to predict the future? Derivatives are your crystal ball! <br><br> Picture this: You're a surfer trying to catch the biggest wave. How do you know when it's coming? Derivatives can tell you when it's at its highest point! <br><br> <b>Rocket Science:</b> Planning to launch a rocket to Mars? Derivatives tell us the optimal fuel burn rate to minimize fuel consumption and maximize distance! <br><br> <b>Stock Market:</b> Trading in the stock market? Derivatives can indicate the rate at which stock prices are changing, helping predict the best time to buy or sell. <br><br> <b>Animation:</b> Love animated movies? Artists use derivatives to smoothly change the motion and expressions of characters, making them feel more lifelike. <br><br> <b>Engineering:</b> Designing a bridge or a skyscraper? Derivatives help determine the rates of stress and strain changes in materials, ensuring the safety of your structures. <br><br> In short, derivatives are like a secret code to understanding change and making predictions in real life. So let's crack this code together and become masters of our futures!	कधी कधी तुम्हाला भविष्य ज्ञात कसे करावं असेच विचारले असेल का? व्युत्क्रांती ही तुमची क्रिस्टल बॉल आहे! <br><br> हे चित्रण करा: तुम्ही एक सर्फर आहात आणि तुम्हाला सर्वात मोठी वेली पकडायची आहे. ती कधी येईल हे तुम्हाला कसे माहीत होईल? व्युत्क्रांती म्हणजेच ती सर्वात उच्च स्थितीवर आहे हे सांगू शकते! <br><br> <b>रॉकेट विज्ञान:</b> मंगळग्रहाला रॉकेट पाठवण्याची नियोजन करीत आहात? व्युत्क्रांती म्हणजेच अग्निसंरक्षण दर आदानप्रदान करण्यासाठी उत्तम ईंधन जलन दर आहे. <br><br> <b>स्टॉक मार्केट:</b> स्टॉक मार्केटमध्ये व्यापार करत आहात? व्युत्क्रांती स्टॉक किंमती बदलत आहेत असे दर दर्शवू शकते, म्हणजेच सर्वोत्तम वेळ खरेदी किंवा विक्री साठी. <br><br> <b>एनिमेशन:</b> एनिमेटेड चित्रपट आवडतात का? कलावंतांनी व्युत्क्रांतीचा वापर करून चरित्राची क्रिया आणि भावना बदलवतात, ज्यामुळे त्यांना अधिक जीवंत वाटते. <br><br> <b>अभियांत्रिकी:</b> पूल किंवा एक आकाशग्रह डिझाईन करत आहात? व्युत्क्रांती म्हणजेच साहत्याच्या ताण आणि स्ट्रेन बदलांची दर ठरविते, ज्यामुळे तुमच्या संरचनांची सुरक्षा होते. <br><br> म्हणजेच, व्युत्क्रांती ह्या खासगी कोडाच्या स्वरूपात बदल आणि वास्तविक आयुष्यात भविष्यवाणी करण्यासाठी ही खासगी माहिती आहे. म्हणून आवर्जून या कोडला सोडून त्याची माहिती परिचयात घेऊं.
V2-Topic-Derivative-Title	Derivative	व्युत्क्रांती
V2-Topic-Derivative-Content	Think of a function as a mathematical rule that relates an input value to an output value. The derivative of a function measures how the output value changes when the input value changes by a small amount. It essentially tells us the instantaneous rate of change of the function at any given point. <br><br> To visualize this, imagine a graph of a function representing, for example, the position of an object over time. The derivative of that function would give you the object's velocity at any specific moment. If the derivative is positive, it means the object is moving forward; if it's negative, the object is moving backward; and if it's zero, the object is at a standstill. <br><br> The derivative can also tell us the slope of a tangent line to the graph of a function at a particular point. This slope represents the rate at which the function is changing at that specific point. By examining the derivative at different points, we can gain insights into the overall behavior of the function and identify important features such as maximum or minimum values. <br><br> Derivatives have numerous applications in various fields of science, engineering, and economics. They are used to analyze motion, solve optimization problems, model rates of change, understand growth patterns, and much more. <br><br> In summary, derivatives provide us with a powerful tool to study how functions change and behave. They allow us to quantify rates of change and investigate the intricate relationships between quantities. Understanding derivatives is fundamental in calculus and lays the groundwork for more advanced mathematical concepts.	एक क्रियापद एक गणितीय नियम म्हणून विचारा, ज्यामुळे एक इनपुट मूल्य हे एक आउटपुट मूल्य कसे संदर्भित करते याचा आढावा घेतला जातो. एकाच क्रियापदाची व्युत्क्रांती म्हणजेच जेव्हा इनपुट मूल्य लहान रकमाने बदलते तेव्हा आउटपुट मूल्य कसे बदलते याची प्रमाणित मोजणी करते. ती आम्हाला कोणत्याही वेळी क्रियापदाचे तात्क्षणिक बदल गाजवते. <br><br> हे कळवून घेण्यासाठी, एक क्रियापदाचं चित्रण करा, उदाहरणार्थ, वेळ पासून प्रायोगिक असं लागते. याचे व्युत्क्रांती म्हणजेच वस्तुचे वेग कोणत्याही विशिष्ट क्षणी देईल. जर व्युत्क्रांती सकारात्मक असेल, म्हणजे वस्तु पुढे जात आहे; जर ती नकारात्मक असेल, तर वस्तु मागे जात आहे; आणि जर ती शून्य असेल, तर वस्तु थांबते आहे. <br><br> व्युत्क्रांती आपल्याला एका विशिष्ट बिंदुवर क्रियापद चित्रणाच्या शीर्ष रेखेच्या डोक्याची ढाल म्हणजेच क्रियापद किती वेगाने बदलते याची वेगाने दुर्लक्ष घेतली जाते. विविध बिंदूंवर व्युत्क्रांती पाहून, आम्ही कुलचालनला कसा धक्का दिलायचा यावर लक्ष केंद्रित करू शकतो. रेखावरील त्या विशिष्ट बिंदूची ढाल म्हणजेच क्रियापद किती वेगाने बदलते याचा प्रतिसाद देते. <br><br> व्युत्क्रांतीची विज्ञान, अभियांत्रिकी, आणि अर्थशास्त्र यासारख्या विविध क्षेत्रांत अनेक अन्वये आहेत. त्यांचा वापर हलवणारा, सर्वोत्तम समस्या सोडवा, मूल्यांचा बदल अभ्यास करा, विकास पैटर्ण कसे समजावे इत्यादी करण्यासाठी करतात. <br><br> सारांशात, व्युत्क्रांती आम्हाला क्रियापद कसे बदलतात आणि वागवतात याचा अभ्यास करण्यासाठी प्रबल साधन प्रदान केले आहे. त्याच्या माध्यमातून बदलदर दर्जा व मोजणी अभ्यास करता येतात आणि मूल्यांच्या दृढ़ संबंधांचा अभ्यास करता येते.
V2-Topic-Derivative-url	derivative	व्युत्क्रमक
LeastCommonMultipleSolverStep1SingleNumber	The LCM (Least Common Multiple) of a single number is the number itself. Therefore, the LCM is {StepFinalResult}. <br><br> To find the LCM (Least Common Multiple) of a number, we need at least two numbers to compare. Could you please provide another number?	एका संख्येचा लघुत्तम समान गुणक (Least Common Multiple) म्हणजे संख्येच तेच आहे. म्हणूनच, LCM हे {StepFinalResult} आहे. <br><br> दोन अथवा त्याहून जास्त संख्यांमधील LCM (लघुत्तम समान गुणक) शोधायला आपल्याला दुसरी संख्या द्यावी लागेल. कृपया दुसरी संख्या द्या.
MSLUS_STEP_SQRT_TO_BOTH_SIDES	Take the square root of both sides of the equation:	समीकरणाच्या दोन्ही बाजूंच्या वर्गमूल घे:
testdeleteme2	inital addition	प्रारंभिक अद्ययन
V2-Propertiesofellipses-Result-12-38	Equation in standard form	मानक रूपातील समीकरण
V2-Propertiesofellipses-Result-12-52	Eccentricity	विलक्षणता
V2-Propertiesofellipses-Result-12-51	y-intercepts	y-लक्ष्यरेषांचे बिंदु
V2-Propertiesofellipses-Result-12-50	x-intercepts	x-लक्ष्यरेषांचे बिंदु
V2-Propertiesofellipses-Result-12-49	Area	क्षेत्रफळ
V2-Propertiesofellipses-Result-12-48	Focus_2	फोकस_2
V2-Propertiesofellipses-Result-12-47	Focus_1	फोकस_1
V2-Propertiesofellipses-Result-12-46	Focal length	फोकल लांबी

Key	English	Marathi
V2-Topic-UnitConverter-Content	Unit conversion is a fundamental concept in mathematics and science that enables us to translate measurements from one unit to another. It's an essential skill because the world uses various unit systems, like the Metric system, which is commonly used internationally, and the Imperial system, typically used in the United States.<br><br> Let's start with weight. If we want to convert kilograms to pounds, we'd use a conversion factor. For example, 1 kilogram is approximately 2.20462 pounds. So, if we have 10 kilograms, we multiply that by the conversion factor to get approximately 22.0462 pounds..<br><br> Distance or length can also be converted similarly. For instance, 1 kilometer is equivalent to 0.621371 miles. So, if we run a 5-kilometer race, we've actually run about 3.11 miles..<br><br> Volume conversion is key in many areas, especially in cooking and chemistry. One liter of a liquid is about 0.264172 gallons. So, if a recipe calls for 2 liters of water, you would need approximately 0.53 gallons..<br><br> Lastly, for area, we often convert between square meters and square feet. One square meter is approximately 10.764 square feet. If you're looking at a room that's 20 square meters, it's about 215.28 square feet..<br><br> Remember, to convert from one unit to another, you need to multiply by the appropriate conversion factor. The conversion factor is a ratio that represents how the units relate to each other, and it's crucial in unit conversion.	युनिट बदल म्हणजे एक गणितीय आणि विज्ञानीय संकल्पना आहे जी आपल्याला एका एकिच्या मोजमापातून इतर मोजमापाकडे जाण्यास मदत करते. जग वेगवेगळे युनिट सिस्टम वापरतात, जसे की सामान्यत: अंतरराष्टीय स्तरावर वापरली जाणारी मेट्रिक सिस्टम आणि अमेरिकेत किंवा युनायटेड स्टेट्समध्ये सामान्यत: वापरली जाणारी इम्पेरियल सिस्टम.<br><br> वजनासह सुरूवात करूया. जर आपल्याला किलोग्राम्सला पाउंडमध्ये बदलावे असेल तर आपण एक बदलनेचा घटक वापरू इच्छितो. उदाहरणार्थ, 1 किलोग्राम एकेरी 2.20462 पाउंड असतो. म्हणूनच, जर आपल्याकडे 10 किलोग्राम असेल, तर आपण त्याने बदलनेच्या घटकाने गुणाकार केला पाहिजे ज्यामुळे एकेरी 22.0462 पाउंड मिळतो..<br><br> म्हणजेच अंतर किंवा लांबी सुद्धा सारखेच बदलता येते. उदाहरणार्थ, 1 किलोमीटर 0.621371 मैलीशी समान असते. म्हणूनच, जर आपण 5 किलोमीटरची धाव मांडली तर, आपण खरोखर 3.11 मैली धावलेल्यास समानता येईल..<br><br> म्हणजेच व्हॉल्यूम बदल म्हणजेच अनेक क्षेत्रांमध्ये, विशेषत: शिजवलेल्या आणि रसायनशास्त्रात, महत्वाचे आहे. एक लिटर द्रव्यांचा एकवळ 0.264172 गॅलन असतो. त्यामुळे, जर रेसिपीमध्ये 2 लिटर पाणीची मागणी असेल, तुम्हाला एकूण 0.53 गॅलन चाहिए..<br><br> शेवटी, क्षेत्रफळासाठी, आम्ही सामान्यतः चौरस मीटर आणि चौरस फुट दरम्यान बदल करतो. एक चौरस मीटर एकेरी 10.764 चौरस फुट असतो. जर तुम्ही 20 चौरस मीटरचे एक खोली पाहत असाल, तो एकेरी 215.28 चौरस फुट असेल..<br><br> लक्षात ठेवा की, एका युनिटपासून इतर युनिटकडे बदलण्यासाठी, आपल्याला योग्य बदलनेच्या घटकाने गुणाकार करावा लागेल. बदलनेचा घटक म्हणजे एक अनुपात ज्या मध्ये युनिट्स एकमेकांशी कसे संबंधित आहेत, ते दर्शवतो आणि ते युनिट बदलामध्ये महत्वाचे आहे.
V2-Topic-UnitConverter-Title	Unit converter	युनिट व्हिकल
V2-Topic-UnitConverter-url	unit-converter	ekak-parivartan
V2-TopicUrlAbsolute value equations	absolute-value-equations	निरपेक्ष-मूल्य-समीकरणे
V2-Topic-url-asdfasfd	asdfasfd	asdfasfd
V2-TopicUrlTest Topic	ur-ist	विषय-ur-ist
V2-Topic-WordProblem-Content	Unlocking the Power of Equations: Solving Word Problems by Rewriting Information<br><br> <b>Introduction:</b><br> Hey there, school students! Today, we're diving into the fascinating world of solving word problems by rewriting information as equations. Don't worry if word problems seem tricky – we're here to break them down and make them as clear as day. So, let's embark on this journey together and discover the magic of equations in solving real-life puzzles!<br><br> <b>Understanding the Basics:</b><br> Before we dive into solving word problems, let's review the basic concept of equations. Equations are mathematical statements that show that two expressions are equal. They help us find unknown values by representing relationships between quantities.<br><br> <b>Explaining the Topic:</b><br> Word problems provide us with information in a contextual format, and our task is to extract the essential details and represent them as equations. By rewriting the given information as equations, we can translate the problem into a mathematical language that allows us to find the solution.<br><br> To solve word problems using equations, we follow a systematic approach:<br><br> Read the problem carefully and identify the given information.<br> Identify the unknowns and assign variables to represent them.<br> Translate the given information into equations using appropriate mathematical operations.<br> Solve the resulting equations to find the values of the unknowns.<br> Check the solution to ensure it satisfies the conditions stated in the problem.<br> Examples:<br> Let's work through a couple of examples to solidify our understanding.<br><br> Example 1:<br> "The sum of two numbers is eleven. The product of the two numbers is thirty. Find the two numbers."<br><br> Let's assign variables:<br> Let x be the first number.<br> Let y be the second number.<br> Given information:<br> The sum of the two numbers is eleven: x + y = 11.<br> The product of the two numbers is thirty: x * y = 30.<br><br> We now have a system of equations:<br> Equation 1: x + y = 11<br> Equation 2: x * y = 30<br><br> By solving these equations simultaneously, we can find the values of x and y.<br><br> Example 2:<br> "The measure of an angle is 33. What is the measure of a supplementary angle?"<br><br> Let x be the measure of the angle.<br><br> Given information:<br> The measure of the angle is 33: x = 33.<br><br> The supplementary angle of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees.<br><br> Equation: x + supplementary angle = 180<br><br> To find the measure of the supplementary angle, we rewrite the equation as: Supplementary angle = 180 - x<br><br> By substituting the value of x (33) into the equation, we can find the measure of the supplementary angle.<br><br> <b>Benefits and Real-World Uses:</b><br> Solving word problems by rewriting information as equations is a vital skill with practical applications in various fields. It helps us solve real-world problems by translating them into a mathematical framework. Whether it's calculating distances, determining quantities, or analyzing patterns, equations enable us to find precise solutions.<br><br> In everyday life, this skill becomes valuable when budgeting, planning events, or making informed decisions. For example, when calculating expenses, determining savings, or figuring out time management, equations provide a structured approach to problem-solving.<br><br> Moreover, solving word problems using equations enhances critical thinking, logical reasoning, and analytical skills. It trains your mind to dissect complex problems, identify relevant information, and apply mathematical principles to arrive at solutions. These skills are essential not only in mathematics but also in various academic disciplines and professional careers.<br><br> <b>Conclusion:</b><br> Congratulations on mastering the art of solving word problems by rewriting information as equations! We've covered the basics, explored the step-by-step process, solved examples, and even delved into the real-world applications of this powerful technique. Now, armed with this knowledge, you can confidently tackle word problems, extract the essential information, and translate it into equations to find precise solutions. So, keep practicing, keep exploring, and let equations be your trusted companion in unraveling the mysteries of the mathematical world and beyond!	समीकरणांची शक्ती उदघाटन: माहितीला समीकरणांमध्ये रूपांतर करून शब्द समस्यांचे समाधान करणे<br><br> <b>Introduction:</b><br> हे, शाळेतील विद्यार्थ्यांनो! आज आपण शब्द समस्यांचे समाधान करून घेतलेल्या माहितीला समीकरणांमध्ये रूपांतरित करणाऱ्या आकर्षक क्षेत्रात प्रवेश करतो. जर शब्द समस्या किंचित गोंगाटिक असल्यास चिंता करायची नाही - आम्ही त्या विभाजित करणार आहोत आणि त्याला स्पष्ट दिवसासारखा करणार आहोत. म्हणून, समीकरणांचा जादू तपासुन साकळीले समस्यांचे समाधान कसे केले जातात, ही प्रवास आपण सायंत्री घेऊ.
V2-Topic-WordProblem-Title	Solving word problems by rewriting information as equations	माहितीला समीकरणांमध्ये रूपांतर करुन शब्द समस्यांचे समाधान करणे
V2-Topic-WordProblem-url	word-problems-by-rewriting-information-as-equations	shabda-sanket-dwara-samikarnanchya-madhun-mahiticha-parivartan
V2-Trigonometry	Trigonometry	त्रिकोणमिती
V2-Trigonometry-MetaDescription	Solve the trigonometry {0} . Tiger Algebra's step-by-step solution shows you how to solve the trigonometry.	त्रिकोणमिती {0} सोडवा . व्याघ्र बीजगणिताचा पाऊल-पाऊलीचा उपाय तुम्हाला त्रिकोणमिती सोडवण्यास मदत करेल.
V2-Trigonometry-MetaTitle	Trigonometry {0} \| Tiger Algebra	त्रिकोणमिती {0} \| व्याघ्र बीजगणित
V2-Trigonometry.plugin	trigonometry	trikonmiti
V2-Trigonometry-Step165-Title	Solve trigonometry	त्रिकोणमिती सोडवा
V2-Trigonometry-url-trigonometry	trigonometry	trikonmiti
V2-Trigonometry-WhyLearnThis	<b>Trigonometry</b> is a branch of mathematics that deals with the relationships between angles and sides of triangles. It may sound complex, but trigonometry is actually quite useful in many real-life situations. Let's dive in and explore why learning trigonometry is important and how it relates to everyday life. <br><br> <b>Understanding Angles:</b><br> Trigonometry helps us understand angles and their measurements. Imagine you're planning a picnic with your friends, and you want to find the perfect spot to set up your picnic blanket. You can use trigonometry to determine the angle of the sun and find a shady spot to avoid direct sunlight. <br><br> <b>Navigation and Distance:</b><br> Trigonometry is crucial for navigation and calculating distances. When you're using a GPS or a map app on your phone to find the shortest route to a destination, it's actually using trigonometric functions to calculate distances and angles between different points. <br><br> <b>Building and Construction:</b><br> Trigonometry plays a vital role in architecture and construction. Architects and engineers use trigonometric concepts to design structures, determine the height of buildings, calculate angles for roofs, and ensure stability and safety in construction projects. <br><br> <b>Astronomy and Celestial Navigation:</b><br> Trigonometry has long been used in astronomy and celestial navigation. Ancient astronomers used trigonometric principles to measure distances between stars and planets. Today, trigonometry helps scientists understand the movement of celestial bodies and even explore space. <br><br> <b>Sports and Games:</b><br> Trigonometry can be found in various sports and games. For example, if you enjoy playing baseball or cricket, understanding the angles and trajectories of the ball can help you improve your aim. Trigonometry is also used in activities like billiards, golf, and even video games to calculate angles and predict movements. <br><br> <b>Sound and Waves:</b><br> Trigonometry is essential in the study of sound and waves. Musicians and audio engineers use trigonometric concepts to understand waveforms, harmonics, and frequencies. It helps in tuning musical instruments and designing sound systems. <br><br> These are just a few examples of how trigonometry is relevant to our daily lives. By learning trigonometry, you'll develop problem-solving skills, enhance your spatial reasoning, and gain a deeper understanding of the world around you. So, embrace trigonometry as a valuable tool that can be applied in various fields and make your everyday life more exciting and meaningful!	<b>त्रिज्यामिती</b> ही गणिताची एक शाखा आहे ज्यामध्ये त्रिभुजाच्या कोनांमधील व सोन्यांमधील संबंधांचा अभ्यास केला जातो. हे किंवा जटिल असलेले असलेले दिसणारे असले तरी, प्रत्यक्ष जीवनात त्रिज्यामिती याचा खूप उपयोग होतो. हे समजतो क्या त्रिज्यामिती याचे अभ्यास करणे महत्त्वचे असे आणि हे दररोजच्या जीवनाशी कसे संबंधित आहे ह्याचा शोध घेतल्या जावा.
V2-UnitConverter	Unit converter	युनिट व्हिकल
V2-UnitConverter-MetaDescription	Learn how to convert {0}. Tiger Algebra's step-by-step solution shows you how to convert different units of measurement, including weight, distance, and volume...	{0} बदलणे कसे करावे या येथे शिका. टायगर एल्जेब्रा च्या पायरी-पायरी सोल्युशननांमुळे आपल्याला वेगवेगळ्या मापन युनिट्सला कसे बदलावे याची शिकवण घेता येईल, तसेच वजन, अंतर आणि व्हॉल्यूम...
V2-UnitConverter-MetaTitle	Convert {0} \| Tiger Algebra	{0} बदला \| टायगर एल्जेब्रा
V2-UnitConverter.plugin	unit conversion	युनिट बदल
V2-UnitConverter-Step164-Title	Follow these steps to convert units: identify starting and desired units, find conversion factor, multiply, round, and verify.	युनिट्स बदलण्यासाठी ह्या पायर्यांचे अनुसरण करा: प्रारंभिक आणि इच्छित युनिट्स ओळखा, बदलनेचा घटक सापडा, गुणाकारा, फेरी, आणि तपासून घ्या.
V2-UnitConverter-TextUnit504	{0}<br> {1} {2} equals to {3} {4}	{0}<br> {1} {2} एकवळ बरोबर {3} {4}
V2-UnitConverter-url-unit-converter	unit-converter	युनिट-व्हिकल
V2-UnitConverter-WhyLearnThis	Unit conversion is a crucial skill that has real-world applications in various everyday activities and academic fields.<br><br> Imagine you're trying to follow a recipe that uses metric measurements, but your tools are in imperial units. Or, consider planning a trip to a country that uses kilometers instead of miles. In these cases, knowing how to convert units allows you to cook accurately or understand distances better.<br><br> Another example is when you're apartment hunting. Listings might show the area in square feet, but you're more comfortable with square meters. Unit conversion can help you visualize the space better.<br><br> In physics, unit conversion is key. Concepts like force, work, or power often involve units that need conversion. The ability to convert between units is essential for accurate problem-solving.<br><br> In short, unit conversion is not just academic. It's a practical skill that simplifies everyday tasks and academic studies, promoting logical thinking and problem-solving. By mastering unit conversion, students equip themselves with a lifelong tool.	एकक परिवर्तन हे एक महत्त्वाचे कौशल्य आहे, ज्याचे दैनंदिन जीवनातील विविध कामकाजांमध्ये आणि शैक्षणिक क्षेत्रातील वापरास येते.<br><br> कल्पना करा की आपण एका रेसिपीचा अनुसरण करत आहात ज्यात इम्पेरियल एककांची चौकशी केली आहे, परंतु आपल्या साधने मेट्रिक एककांत आहेत. किंवा, एका देशाची प्रवासाची नियोजन करत असलेल्या व्यक्तीला लक्षात घेतल्यास, त्या देशात किलोमीटर वापरले जातात, माइल नाहीत. या प्रमाणात, एकक परिवर्तन कसे करावे हे महत्त्वाचे. <br><br> एकूण ठिकाणी निवासाच्या शोधात असताना ही एक उदाहरण आहे. लिस्टिंग्ज असाव्यास, चौरस फुटांमध्ये प्रदर्शित केलेले क्षेत्रफळ दाखविलेले असतील, परंतु आपण चौरस मीटरांशी जास्त सुखी आहात. एकक परिवर्तन आपल्याला जागा चांगल्या प्रकारे कल्पना करण्यास मदत करू शकते. <br><br> भौतिकशास्त्रात, एकक परिवर्तन एक महत्त्वपूर्ण गोष्ट आहे. बल, काम, किंवा वीर्य अशा अवधारणांमध्ये एकक परिवर्तनाची गरज असते. एककांमध्ये परिवर्तन करण्याची क्षमता योग्य समस्या सोडवणारी क्षमता आहे.<br><br> मुख्यत्वंचे म्हणजे, अभ्यासातील एकक परिवर्तन फक्त विद्यार्थ्यांसाठीच नाही. या एका कौशल्याचा वापर दैनंदिन कामकाजात करता येतो आणि त्याच्या मदतीने तर्कशास्त्रीय विचार आणि समस्या सोडवणारी क्षमता वाढते. एकक परिवर्तनाचे माहिती घेऊन विद्यार्थी आपल्या साठी एक आयुष्यभराचे साधन साध्य करतात.
V2-url-parabola	parabola	पराबोला
V2-WordProblem	Word Problem	शब्द समस्या
V2-WordProblem-MetaDescription	To solve this word problem, Tiger Algebra will show you how to transform information given in plain English into equations which can then be solved.	या शब्द समस्येचे समाधान करण्यासाठी, टायगर अल्जेब्रा ह्याचा वापर करते की समाधान करण्यासाठी इंग्रजीतील माहितीला समीकरणांमध्ये रूपांतरित कसे करावे ह्या संदर्भात येईल.
V2-WordProblem-MetaTitle	{0}	{0}
V2-WordProblem.plugin	Solving word problems by rewriting information as equations	माहितीला समीकरणांमध्ये चालुन घेऊन शब्द समस्यांचे समाधान करण्याजबाबत
V2-WordProblem-Result-16-12	One number is	एक संख्या आहे

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Marathi 338 characters edited Current translation Translated

त्रिज्यामिती ही गणिताची एक शाखा आहे ज्यामध्ये त्रिभुजाच्या कोनांमधील व सोन्यांमधील संबंधांचा अभ्यास केला जातो. हे किंवा जटिल असलेले असलेले दिसणारे असले तरी, प्रत्यक्ष जीवनात त्रिज्यामिती याचा खूप उपयोग होतो. हे समजतो क्या त्रिज्यामिती याचे अभ्यास करणे महत्त्वचे असे आणि हे दररोजच्या जीवनाशी कसे संबंधित आहे ह्याचा शोध घेतल्या जावा.

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