Evaluate the expression F= 1 1+ + 1 1+ and choose its simplest equivalent form.

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Evaluate the expression F=11+tan⁡θ+11+cot⁡θF=\frac{1}{1+\tan\theta}+\frac{1}{1+\cot\theta} and choose its simplest equivalent form. (a) sec⁡2θ\sec^{2}\theta (b) tan⁡2θ\tan^{2}\theta (c) 11 (d) sin⁡θ+cos⁡θ\sin\theta+\cos\theta

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