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CBSE - Class 11 Mathematics Trigonometric Functions Worksheet

Find the degree measures corresponding to the following radian measures (Use $\pi = \frac{22}{7}$). (iii) $\frac{5\pi}{3}$

Prove the following: $\cot 4x (\sin 5x + \sin 3x) = \cot x (\sin 5x - \sin 3x)$

Find the values of other five trigonometric functions if $\tan x = -\frac{5}{12}$, $x$ lies in second quadrant.

Find the radian measures corresponding to the following degree measures: (i) $25^{\circ}$

Prove the following: $\frac{\cos 9x - \cos 5x}{\sin 17x - \sin 3x} = -\frac{\sin 2x}{\cos 10x}$

Find the values of other five trigonometric functions if $\sec x = \frac{13}{5}$, $x$ lies in fourth quadrant.

Find the degree measures corresponding to the following radian measures (Use $\pi = \frac{22}{7}$). (ii) $-4$

Prove the following: $\cot x \cot 2x - \cot 2x \cot 3x - \cot 3x \cot x = 1$

Find the radian measures corresponding to the following degree measures: (ii) $- 47^{\circ}30'$

10.

Prove that: $\sin 3x + \sin 2x - \sin x = 4\sin x \cos \frac{x}{2} \cos \frac{3x}{2}$

11.

Find the values of the trigonometric functions: $\text{cosec} (-1410^{\circ})$

12.

Find the values of other five trigonometric functions if $\cot x = \frac{4}{3}$, $x$ lies in third quadrant.

13.

If $\tan \theta/2 = t ,$ then the value of $\frac{1-t^{2}}{1+t^{2}}$ is

(A) $\cos 2\theta$

(B) $\sec 2\theta$

(D) $\tan \theta$

14.

Prove the following: $\frac{\sin x - \sin y}{\cos x + \cos y} = \tan \frac{x-y}{2}$

15.

Prove that: $\frac{(\sin 7x + \sin 5x) + (\sin 9x + \sin 3x)}{(\cos 7x + \cos 5x) + (\cos 9x + \cos 3x)} = \tan 6x$

16.

Find $\sin \frac{x}{2}$, $\cos \frac{x}{2}$ and $\tan \frac{x}{2}$ in each of the following : $\sin x = \frac{1}{4}$, $x$ in quadrant II

17.

Find the values of other five trigonometric functions if $\sin x = \frac{3}{5}$, $x$ lies in second quadrant.

18.

Prove the following: $\frac{\sin 5x + \sin 3x}{\cos 5x + \cos 3x} = \tan 4x$

19.

Find the values of the trigonometric functions: $\tan \frac{19\pi}{3}$

20.

Prove the following: $\cos(\frac{3\pi}{4} + x) - \cos(\frac{3\pi}{4} - x) = -\sqrt{2} \sin x$

Worksheet Answers

13.

Option C

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