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Examples: Inverse Trigonometric Functions Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Examples: Inverse Trigonometric Functions Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What are inverse trigonometric functions?
Ans. Inverse trigonometric functions are mathematical functions that help determine the angle from the ratio of the sides of a right triangle. They are the inverse operations of trigonometric functions, such as sine, cosine, and tangent.
2. What is the purpose of using inverse trigonometric functions?
Ans. Inverse trigonometric functions are used to find angles in a right triangle when the lengths of the sides are known. They are essential in solving real-life problems involving angles, such as navigation, engineering, and physics.
3. How do I find the value of an inverse trigonometric function?
Ans. To find the value of an inverse trigonometric function, you can use a scientific calculator or refer to trigonometric tables. Alternatively, you can use the built-in inverse trigonometric functions in programming languages or mathematical software.
4. Can inverse trigonometric functions have multiple solutions?
Ans. Yes, inverse trigonometric functions can have multiple solutions. Since trigonometric functions are periodic, there can be more than one angle that satisfies a particular ratio of sides. It is important to consider the domain and range of the function to determine the appropriate solution.
5. How do I handle the ambiguity of multiple solutions in inverse trigonometric functions?
Ans. When dealing with multiple solutions in inverse trigonometric functions, it is crucial to specify the range or restrict the domain to obtain a unique solution. This can be done by considering the context of the problem or using specific notations, such as principal values or inverse trigonometric identities, to ensure the desired solution is obtained.
204 videos|288 docs|139 tests

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