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

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

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$1$

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

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

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