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Question Number 192987 by Mingma last updated on 01/Jun/23

Answered by ajfour last updated on 01/Jun/23

$$letleftvertical=2$$$$2\cos \theta =c\cos x$$$$\sin \theta =c\sin x$$$$4\cos \theta \cos \theta =c\cos (\pi -x-\theta )$$$$................................$$$$4\cos {}^2\theta +c\cos x\cos \theta =c\sin x\sin \theta$$$$\cos {}^{2}x+\frac{\cos {}^{2}x}{2}=\sin {}^{2}x$$$$\frac{3}{2}(1-\sin {}^{2}x)=\sin {}^{2}x$$$$\sin x=\sqrt{\frac{3}{5}}$$$$x={\tan }^{-1}\sqrt{\frac{2}{3}}$$$$$$

Commented by Mingma last updated on 01/Jun/23

Perfect ��

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