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Practice Test · Class 10

Introduction to Trigonometry

10 questions randomised from the chapter. Type each final answer and submit to see your score.

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01
Value of tan⁡260+4cos⁡245+3sec⁡230+5cos⁡290\tan^2 60 + 4\cos^2 45 + 3\sec^2 30 + 5\cos^2 90.
02
cos⁡θ=1/2\cos\theta = 1/2: find θ\theta.
03
If sin⁡θ+cos⁡θ=2\sin\theta + \cos\theta = \sqrt 2, prove tan⁡θ+cot⁡θ=2\tan\theta + \cot\theta = 2.
04
Prove tan⁡θ1−cot⁡θ+cot⁡θ1−tan⁡θ=1+sec⁡θcsc⁡θ\dfrac{\tan\theta}{1-\cot\theta} + \dfrac{\cot\theta}{1-\tan\theta} = 1 + \sec\theta\csc\theta.
05
If tan⁡θ=8/15\tan\theta = 8/15, find sin⁡θ+cos⁡θ\sin\theta + \cos\theta.
06
Prove (sec⁡θ+tan⁡θ)(sec⁡θ−tan⁡θ)=1(\sec\theta + \tan\theta)(\sec\theta - \tan\theta) = 1.
07
Evaluate sin⁡60∘cos⁡30∘+sin⁡30∘cos⁡60∘\sin 60^\circ\cos 30^\circ + \sin 30^\circ\cos 60^\circ.
08
Prove (1−cos⁡2θ)csc⁡2θ=1(1 - \cos^2\theta)\csc^2\theta = 1.
09
If sin⁡A=3/5\sin A = 3/5, find cos⁡A,tan⁡A\cos A, \tan A.
10
sin⁡45∘+cos⁡45∘\sin 45^\circ + \cos 45^\circ.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026