Given that for an acute angle

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Given that cos⁡θ=32\cos\theta=\dfrac{\sqrt{3}}{2} for an acute angle θ\theta, calculate sin⁡2θ−cos⁡2θ\sin^{2}\theta-\cos^{2}\theta.

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