If $C o s A + {C o s}^{2} A = 1$ , then the value of ${S i n}^{2} A + {S i n}^{4} A$ is :

1

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\frac{1}{2}

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2

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3

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Solution

The correct option is B $1$
$C o s A + {C o s}^{2} A = 1$
$\Rightarrow cos A = 1 - {C o s}^{2} A = {S i n}^{2} A$
$∴ {S i n}^{2} A + {S i n}^{4} A = cos A + {C o s}^{2} A = 1 (g i v e n)$

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