Find exact values for and given that:

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

Problem

Find exact values for sin⁡θ\sin \theta and cos⁡θ\cos \theta given that: (a) tan⁡θ=23\tan \theta = \frac{2}{3} and 0<θ<π20 < \theta < \frac{\pi}{2} (b) tan⁡θ=−43\tan \theta = -\frac{4}{3} and π2<θ<π\frac{\pi}{2} < \theta < \pi (c) tan⁡θ=53\tan \theta = \frac{\sqrt{5}}{3} and π<θ<3π2\pi < \theta < \frac{3\pi}{2} (d) tan⁡θ=−125\tan \theta = -\frac{12}{5} and 3π2<θ<2π\frac{3\pi}{2} < \theta < 2\pi

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