An angle satisfies and .

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

Problem

An angle θ\theta satisfies sin⁡θ=−35\sin\theta=-\dfrac{3}{5} and π<θ<3π2\pi<\theta<\dfrac{3\pi}{2}. (i) Identify the quadrant in which θ\theta lies. (ii) Find the exact values of cos⁡θ\cos\theta and tan⁡θ\tan\theta. (iii) Verify that sin⁡2θ+cos⁡2θ=1\sin^{2}\theta+\cos^{2}\theta=1 using the values obtained.

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