Show that - = for all with and .

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Show that sec⁡θ−cos⁡θtan⁡θ=sin⁡θ\frac{\sec\theta-\cos\theta}{\tan\theta}=\sin\theta for all θ\theta with cos⁡θ≠0\cos\theta\ne0 and sin⁡θ≠0\sin\theta\ne0.

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