CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let sin⁡θ=35\sin\theta=\dfrac{3}{5} where 0<θ<π20<\theta<\dfrac{\pi}{2}. (i) Find cos⁡θ\cos\theta and tan⁡θ\tan\theta. (ii) Calculate the exact values of sin⁡3θ\sin3\theta, cos⁡3θ\cos3\theta and tan⁡3θ\tan3\theta. (iii) Hence evaluate sin⁡3θ+cos⁡3θ\sin3\theta+\cos3\theta and state its value.

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