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CBSE - Class 11 > Mathematics > Trigonometric Functions Worksheets

Free CBSE - Class 11 Mathematics - Trigonometric Functions worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
Prove that: $(\cos x + \cos y)^2 + (\sin x - \sin y)^2 = 4 \cos^2 \frac{x+y}{2}$
2.
Prove that: $(\cos x - \cos y)^2 + (\sin x - \sin y)^2 = 4 \sin^2 \frac{x-y}{2}$
3.
Prove that: $\sin x + \sin 3x + \sin 5x + \sin 7x = 4 \cos x \cos 2x \sin 4x$
4.
Prove that: $\frac{(\sin 7x + \sin 5x) + (\sin 9x + \sin 3x)}{(\cos 7x + \cos 5x) + (\cos 9x + \cos 3x)} = \tan 6x$
5.
Prove that: $\sin 3x + \sin 2x - \sin x = 4\sin x \cos \frac{x}{2} \cos \frac{3x}{2}$
6.
Find $\sin \frac{x}{2}$, $\cos \frac{x}{2}$ and $\tan \frac{x}{2}$ in each of the following : $\tan x = -\frac{4}{3}$, $x$ in quadrant II
7.
Find $\sin \frac{x}{2}$, $\cos \frac{x}{2}$ and $\tan \frac{x}{2}$ in each of the following : $\cos x = -\frac{1}{3}$, $x$ in quadrant III
8.
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
9.
Prove that: $2\cos\frac{\pi}{13}\cos\frac{9\pi}{13} + \cos\frac{3\pi}{13} + \cos\frac{5\pi}{13} = 0$
10.
Prove that: $(\sin 3x + \sin x) \sin x + (\cos 3x - \cos x) \cos x = 0$
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Chapters in CBSE - Class 11 Mathematics

Binomial Theorem Worksheet Complex Numbers Worksheet Conic Sections Worksheet Introduction to Three Dimensional Geometry Worksheet Limits and Derivatives Worksheet Linear Inequalities Worksheet Mathematics Worksheet Permutations and Combinations Worksheet Probability Worksheet Relations and Functions Worksheet Sequences and Series Worksheet Sets Worksheet Statistics Worksheet Straight Lines Worksheet

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