Given that and

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

Problem

Given that cos⁡θ=−25\cos\theta=-\dfrac{2}{5} and π2<θ<π\dfrac{\pi}{2}<\theta<\pi, answer the following. (i) Determine sin⁡θ\sin\theta. (ii) Hence find tan⁡θ\tan\theta, sec⁡θ\sec\theta, csc⁡θ\csc\theta and cot⁡θ\cot\theta. (iii) Verify that 1+tan⁡2θ=sec⁡2θ1+\tan^{2}\theta=\sec^{2}\theta for this value of θ\theta."

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