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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.

00:01
0/10 attempted
01
Evaluate sin60cos30+sin30cos60\sin 60^\circ\cos 30^\circ + \sin 30^\circ\cos 60^\circ.
02
Value of tan260+4cos245+3sec230+5cos290\tan^2 60 + 4\cos^2 45 + 3\sec^2 30 + 5\cos^2 90.
03
Prove tanθ1cotθ+cotθ1tanθ=1+secθcscθ\dfrac{\tan\theta}{1-\cot\theta} + \dfrac{\cot\theta}{1-\tan\theta} = 1 + \sec\theta\csc\theta.
04
Prove (1cos2θ)csc2θ=1(1 - \cos^2\theta)\csc^2\theta = 1.
05
If tanθ=8/15\tan\theta = 8/15, find sinθ+cosθ\sin\theta + \cos\theta.
06
sin45+cos45\sin 45^\circ + \cos 45^\circ.
07
Prove (secθ+tanθ)(secθtanθ)=1(\sec\theta + \tan\theta)(\sec\theta - \tan\theta) = 1.
08
If sinA=3/5\sin A = 3/5, find cosA,tanA\cos A, \tan A.
09
cosθ=1/2\cos\theta = 1/2: find θ\theta.
10
If sinθ+cosθ=2\sin\theta + \cos\theta = \sqrt 2, prove tanθ+cotθ=2\tan\theta + \cot\theta = 2.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026