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Question Number 68353 by mhmd last updated on 09/Sep/19

$$\mathrm{If}\sin x+{\sin }^{2}x=1,\mathrm{then}\mathrm{value}\mathrm{of}$$$${\cos }^{2}x+{\cos }^{4}x\mathrm{is}$$

Answered by $@ty@m123 last updated on 09/Sep/19

$$Given,1-\sin {}^{2}x=\sin x$$$$\cos {}^{2}x=\sin x....\left(1\right)$$$$\therefore {\cos }^{2}x+{\cos }^{4}x$$$$=\sin x+{\sin }^{2}x=1$$

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