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Question Number 50705 by 786786AM last updated on 19/Dec/18

$$\mathrm{If}\cos 2\mathrm{y}=\tan {}^2\mathrm{x},\mathrm{prove}\mathrm{that}\cos 2\mathrm{x}=\tan {}^2\mathrm{y}.$$

Answered by tanmay.chaudhury50@gmail.com last updated on 19/Dec/18

$$cos2x$$$$=\frac{1-{tan}^{2}x}{1+{tan}^{2}x}$$$$=\frac{1-cos2y}{1+cos2y}$$$$=\frac{2{sin}^{2}y}{2{cos}^{2}y}$$$$={tan}^{2}y$$

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