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Free CBSE - Class 11 Mathematics - Trigonometric Functions worksheets

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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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Top Tutors who teach CBSE - Class 11 Mathematics Trigonometric Functions

Deepak Joshi Trigonometric Functions in Bangalore
(50)
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locationImg Ashok Nagar D' Souza Layout, Bangalore
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Ph.D. Candidate | M.Sc. (Mathematics) | Former Faculty at BYJU'S (7 Years) & DPS Gurgaon (3 Years)
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Skills: Mathematics

Vinod kumar Trigonometric Functions in Delhi
(45)
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locationImg Village Mandoli, Delhi
20 yrs of Exp students 9 students
3027 hrs of classes completed
rsIcon 600 per hour
Experience: 26 years. fees: Rs 300 (group classes), Rs 600 (one-one classes)
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Skills: Mathematics

(20)
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locationImg Uttorayon Township, Siliguri
10 yrs of Exp students 9 students
91 hrs of classes completed
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Knowledge and experience is everything 1stly take a demo and you will get to know what i Teach
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Skills: Mathematics , Physics and more

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254 hrs of classes completed
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Teaching Mathematics from class XI to Graduation, BTech Mathematics All stream since 2018
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The classes are always very very engaging, never a dull moment. Sir makes sure the student actually understood the concept before moving on and it's so reassuring to know you won't be judged even if you're slow in understanding. It was exactly what I needed to get my maths basics strong for eleventh.

Skills: Mathematics

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