If $s i n x + s i n^{2} x = 1$ , then $c o s^{8} x + 2 c o s^{6} x + c o s^{4} x$ is equal to

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Solution

The correct option is C $1$
Given that $s i n x = 1 - s i n^{2} x = c o s^{2} x$

$∴$ $s i n x = c o s^{2} x$

Given Expression $= (c o s^{4} x + c o s^{2} x)^{2}$

$= (s i n x + s i n^{2} x)^{2}$
$= 1$

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Similar questions

S i n x + S i n^{2} x = 1

C o s^{8} x + 2 C o s^{6} x + C o s^{4} x = . . . . . . .

If $s i n x + s i n^{2} x = 1$ , then write the value of $c o s^{8} x + 2 c o s^{6} x + c o s^{4} x .$

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