If $s i n x + s i n^{2} x = 1$ , then the value of $c o s^{2} x + c o s^{4} x$ is

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Solution

The correct option is C $1$
$sin x + {sin}^{2} x = 1$
$1 - {sin}^{2} x = sin x$
${cos}^{2} x = sin x$
Thus,
${cos}^{2} x + {cos}^{4} x = sin x + {sin}^{2} x = 1$
Hence, option c is correct

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