An angle satisfies and lies in the second quadrant

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

Problem

An angle θ\theta satisfies sin⁡θ=725\sin\theta=\dfrac{7}{25} and lies in the second quadrant. Answer the following. (a) Find cos⁡θ\cos\theta. (b) Hence determine tan⁡θ\tan\theta. (c) Using your results, show that sin⁡2θ+cos⁡2θ=1\sin^{2}\theta+\cos^{2}\theta=1."

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