Which one of the following expressions is equal to for every real value of ?

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

Problem

Which one of the following expressions is equal to 11 for every real value of xx? (a) (sin⁡x+cos⁡x)2(\sin x+\cos x)^2 (b) tan⁡2x+1\tan^{2}x+1 (c) sin⁡2x+cos⁡2x\sin^{2}x+\cos^{2}x (d) sin⁡x+cos⁡x\sin x+\cos x

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