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

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Application +4 | -1

\sin \,\,x + {\sin ^2}x = 1

, then value of

{\cos ^2}\,x + {\cos ^4}x

View answer and explanation

Correct option: A

\mathrm{1}

Option A (1) is correct because given

\sin \,x + {\sin ^2}x = 1

, we can deduce that

\sin x = {\cos ^2}x

, and substituting this into

{\cos ^2}\,x + {\cos ^4}x

gives us 1.

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