If , evaluate…

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

7. If cot⁡θ=78\cot \theta=\frac{7}{8}, evaluate : (i) (1+sin⁡θ)(1−sin⁡θ)(1+cos⁡θ)(1−cos⁡θ)\frac{(1+\sin \theta)(1-\sin \theta)}{(1+\cos \theta)(1-\cos \theta)} (ii) cot⁡2θ\cot ^{2} \theta

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