Which of the following is equal to for all real ?

MATHEMATICS · Single correct · GCSE · Further Mathematics · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Which of the following is equal to sin⁡2θ+cos⁡2θ\sin^2\theta + \cos^2\theta for all real θ\theta? (a) cos⁡2θ\cos 2\theta (b) 1 (c) sin⁡2θ\sin 2\theta (d) sec⁡2θ\sec^{2}\theta

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