In a right triangle

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

In a right triangle, an acute angle θ\theta satisfies sin⁡θ=35\sin \theta = \dfrac{3}{5}. Use this information to answer the following. (i) Find cos⁡θ\cos \theta. (ii) Hence calculate tan⁡θ\tan \theta. (iii) Determine the value of sin⁡2θ−cos⁡2θsin⁡θcos⁡θ\dfrac{\sin^2 \theta - \cos^2 \theta}{\sin \theta \cos \theta}.

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