NCERT Solutions Exercise 2.2: Inverse Trigonometric Functions

# NCERT Solutions Class 12 Maths Chapter 2 - Inverse Trigonometric Functions

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

## FAQs on NCERT Solutions Class 12 Maths Chapter 2 - Inverse Trigonometric Functions

 1. What are inverse trigonometric functions?
Ans. Inverse trigonometric functions are mathematical functions that give the angle whose trigonometric ratio is given. They are denoted as sin^-1, cos^-1, tan^-1, cosec^-1, sec^-1, and cot^-1.
 2. What is the domain and range of inverse trigonometric functions?
Ans. The domain of inverse trigonometric functions depends on the specific function. For sin^-1 and cos^-1, the domain is [-1, 1], while for tan^-1, the domain is (-∞, ∞). The range of all inverse trigonometric functions is [-π/2, π/2].
 3. How are inverse trigonometric functions helpful in solving equations?
Ans. Inverse trigonometric functions are used to solve equations involving trigonometric ratios. By applying these functions, we can find the values of angles that satisfy the given equation, making it easier to solve trigonometric equations.
 4. What are the important properties of inverse trigonometric functions?
Ans. Some important properties of inverse trigonometric functions include: - sin^-1(x) + cos^-1(x) = π/2 - tan^-1(x) = sin^-1(x)/cos^-1(x) - cos^-1(x) = π/2 - sin^-1(x) - sin^-1(x) + sin^-1(√(1-x^2)) = π/2
 5. Can inverse trigonometric functions be used in real-life applications?
Ans. Yes, inverse trigonometric functions have various real-life applications. They are used in engineering, physics, navigation, computer graphics, and many other fields. For example, they can be used to calculate angles of elevation and depression, determine the position of an object based on its distance and angle of elevation, and analyze waveforms in signal processing.

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

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