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

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(A) Given the equation: $\cos x + \cos^2 x = 1$.Rearranging the terms,we get: $\cos x = 1 - \cos^2 x$.Using the trigonometric identity $\sin^2 x + \co

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$1$

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(A) Given the equation: $\cos x + \cos^2 x = 1$.Rearranging the terms,we get: $\cos x = 1 - \cos^2 x$.Using the trigonometric identity $\sin^2 x + \cos^2 x = 1$,we know that $1 - \cos^2 x = \sin^2 x$.Therefore,$\cos x = \sin^2 x$.Now,we need to find the value of $\sin^2 x + \sin^4 x$.Substituting $\sin^2 x = \cos x$ into the expression,we get:$\sin^2 x + (\sin^2 x)^2 = \cos x + (\cos x)^2$.Since we are given $\cos x + \cos^2 x = 1$,the value of the expression is $1$.

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

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