If cos x + cos^2 x = 1,then the value of sin^ | vedclass

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(A) Given that $\cos x + \cos^2 x = 1$. From this,we have $\cos x = 1 - \cos^2 x$. Using the identity $\sin^2 x + \cos^2 x = 1$,we get $\cos x = \sin^

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$1$

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(A) Given that $\cos x + \cos^2 x = 1$. From this,we have $\cos x = 1 - \cos^2 x$. Using the identity $\sin^2 x + \cos^2 x = 1$,we get $\cos x = \sin^2 x$. Now,we need to find the value of $\sin^2 x + \sin^4 x$. Substituting $\sin^2 x = \cos x$,we get $\sin^4 x = (\sin^2 x)^2 = \cos^2 x$. Therefore,$\sin^2 x + \sin^4 x = \cos x + \cos^2 x$. Since $\cos x + \cos^2 x = 1$,the value is $1$.

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

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