If and , prove that…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

If x=2cos⁡θ−cos⁡2θx = 2 \cos \theta - \cos 2\theta and y=2sin⁡θ−sin⁡2θy = 2 \sin \theta - \sin 2\theta , prove that dydx=tan⁡(3θ2)\frac{dy}{dx} = \tan \left( \frac{3\theta}{2} \right) .

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