Prove that ( ^ 2 -1 , = ) for any acute angle ( ).

MATHEMATICS · Subjective · GCSE · Further Mathematics · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Prove that sec⁡2θ−1sec⁡θ tan⁡θ=sin⁡θ\dfrac{\sec^{2}\theta-1}{\sec\theta\,\tan\theta}=\sin\theta for any acute angle θ\theta.

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