A Level

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

Problem

Simplify sin⁡4θ+cos⁡4θsin⁡2θ cos⁡2θ\dfrac{\sin^4\theta+\cos^4\theta}{\sin^2\theta\,\cos^2\theta}. (a) 1sin⁡2θcos⁡2θ+2\dfrac{1}{\sin^2\theta\cos^2\theta}+2 (b) 1sin⁡2θcos⁡2θ−2\dfrac{1}{\sin^2\theta\cos^2\theta}-2 (c) 2−1sin⁡2θcos⁡2θ2-\dfrac{1}{\sin^2\theta\cos^2\theta} (d) tan⁡2θ+cot⁡2θ\tan^{2}\theta+\cot^{2}\theta

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