A. Prove that: b. OR Prove…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

27. a. Prove that: tan⁡θ1−cot⁡θ+cot⁡θ1−tan⁡θ=1+sec⁡θcsc⁡θ\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \sec \theta \csc \theta b. OR Prove that: sin⁡A+cos⁡Asin⁡A−cos⁡A+sin⁡A−cos⁡Asin⁡A+cos⁡A=22sin⁡2A−1\frac{\sin A + \cos A}{\sin A - \cos A} + \frac{\sin A - \cos A}{\sin A + \cos A} = \frac{2}{2 \sin^2 A - 1}

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