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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 each of the following: $\tan^{-1} [2\cos(2\sin^{-1}(\frac{1}{2}))]$
2.
Prove that $\cos^{-1} \frac{4}{5} + \cos^{-1} \frac{12}{13} = \cos^{-1} \frac{33}{65}$
3.
Prove that $\cos^{-1} \frac{12}{13} + \sin^{-1} \frac{3}{5} = \sin^{-1} \frac{56}{65}$
4.
Prove that $\tan^{-1} \frac{63}{16} = \sin^{-1} \frac{5}{13} + \cos^{-1} \frac{3}{5}$
5.
Prove that $\tan^{-1} \sqrt{x} = \frac{1}{2} \cos^{-1} (\frac{1-x}{1+x})$, $x \in [0, 1]$
6.
Prove that $\cot^{-1} (\frac{\sqrt{1+\sin x} + \sqrt{1-\sin x}}{\sqrt{1+\sin x} - \sqrt{1-\sin x}}) = \frac{x}{2}$, $x \in (0, \frac{\pi}{4})$
7.
Prove that $\tan^{-1}(\frac{\sqrt{1+x} - \sqrt{1-x}}{\sqrt{1+x} + \sqrt{1-x}}) = \frac{\pi}{4} - \frac{1}{2} \cos^{-1} x$, $\frac{-1}{\sqrt{2}} \leq x \leq 1$
8.
Solve the following equations: $2\tan^{-1}(\cos x) = \tan^{-1}(2 \csc x)$
9.
Solve the following equations: $\tan^{-1} \frac{1-x}{1+x} = \frac{1}{2} \tan^{-1} x, (x > 0)$
10.
$\sin(\tan^{-1} x)$, $|x| < 1$ is equal to
1. $\frac{x}{\sqrt{1-x^2}}$ 2. $\frac{1}{\sqrt{1-x^2}}$ 3. $\frac{1}{\sqrt{1+x^2}}$ 4. $\frac{x}{\sqrt{1+x^2}}$
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Chapters in CBSE - Class 12 Mathematics

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

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Top Concept Videos in Mathematics Inverse Trigonometric Functions

The Special Angles of Trigonometric Functions video thumbnail

The Special Angles of Trigonometric Functions

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