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CBSE - Class 12 > Mathematics > Inverse Trigonometric Functions Worksheets

Free CBSE - Class 12 Mathematics - Inverse Trigonometric Functions worksheets

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1.
Find the values of the following: $\cos^{-1}(\frac{1}{2}) + 2\sin^{-1}(\frac{1}{2})$
2.
If $\sin^{-1} x = y$, then
1. $0 \leq y \leq \pi$ 2. $\frac{-\pi}{2} \leq y \leq \frac{\pi}{2}$ 3. $0 < y < \pi$ 4. $\frac{-\pi}{2} < y < \frac{\pi}{2}$
3.
$\tan^{-1}(\sqrt{3}) - \sec^{-1}(-2)$ is equal to
1. $\pi$ 2. $\frac{-\pi}{3}$ 3. $\frac{\pi}{3}$ 4. $\frac{2\pi}{3}$
4.
Prove the following: $3\sin^{-1} x = \sin^{-1} (3x - 4x^3)$, $x \in [\frac{-1}{2}, \frac{1}{2}]$
5.
Prove the following: $3\cos^{-1} x = \cos^{-1} (4x^3 - 3x)$, $x \in [\frac{1}{2}, 1]$
6.
Write the following functions in the simplest form: $\tan^{-1} \frac{\sqrt{1+x^2}-1}{x}$, $x \neq 0$
7.
Write the following functions in the simplest form: $\tan^{-1} (\sqrt{\frac{1-\cos x}{1+\cos x}})$, $0 < x < \pi$
8.
Write the following functions in the simplest form: $\tan^{-1} (\frac{\cos x - \sin x}{\cos x + \sin x})$, $\frac{-\pi}{4} < x < \frac{3\pi}{4}$
9.
Write the following functions in the simplest form: $\tan^{-1} \frac{x}{\sqrt{a^2 - x^2}}$, $|x| < a$
10.
$\sin^{-1}(1 - x) - 2\sin^{-1} x = \frac{\pi}{2}$, then $x$ is equal to
1. $0, \frac{1}{2}$ 2. $1, \frac{1}{2}$ 3. $0$ 4. $\frac{1}{2}$
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Chapters in CBSE - Class 12 Mathematics

Relations and Functions Worksheet Matrices Worksheet Determinants Worksheet Continuity and Differentiability Worksheet Application of Derivatives Worksheet Integrals Worksheet Application of Integrals Worksheet Differential Equations Worksheet Vector Algebra Worksheet Three Dimensional Geometry Worksheet Linear Programming Worksheet Probability Worksheet

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Top Concept Videos in Mathematics Inverse Trigonometric Functions

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The Special Angles of Trigonometric Functions

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