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