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Basic Concepts of Inverse Trigonometric Functions Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

FAQs on Basic Concepts of Inverse Trigonometric Functions Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What are inverse trigonometric functions?
Ans. Inverse trigonometric functions are mathematical functions that provide the angle (in radians or degrees) corresponding to a given trigonometric ratio. They are denoted as sin⁻¹(x), cos⁻¹(x), tan⁻¹(x), etc., and are used to find the angle when the trigonometric value is known.
2. How do inverse trigonometric functions help in solving trigonometric equations?
Ans. Inverse trigonometric functions help in solving trigonometric equations by allowing us to find the angles involved. By using inverse trigonometric functions, we can find the values of angles that satisfy a given trigonometric equation.
3. What is the domain and range of inverse trigonometric functions?
Ans. The domain of inverse trigonometric functions is the set of values for which the corresponding trigonometric ratio is defined. For example, the domain of sin⁻¹(x) is -1 ≤ x ≤ 1. The range of inverse trigonometric functions is the set of values of angles for which the trigonometric ratio is defined. For example, the range of sin⁻¹(x) is -π/2 ≤ x ≤ π/2.
4. How do inverse trigonometric functions relate to right-angled triangles?
Ans. Inverse trigonometric functions relate to right-angled triangles by providing a way to find the angles of a triangle given the lengths of its sides. By using inverse trigonometric functions, we can find the angles of a triangle based on the ratios of its sides.
5. Can inverse trigonometric functions be used to find the values of trigonometric ratios for any angle?
Ans. Yes, inverse trigonometric functions can be used to find the values of trigonometric ratios for any angle, but they are most commonly used for finding the values of angles within a specific range. The values of trigonometric ratios for angles outside the range of inverse trigonometric functions can be found using trigonometric identities and periodicity properties.
204 videos|288 docs|139 tests

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