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Q)

Let $f_K(x) = \frac{1}{k} (\sin^k x + \cos^k x)$ where $x \in R$ and $k \geq 1$. Then $f_4(x) - f_6(x)$ equals


( A ) $\frac{1}{12}$
( B ) $\frac{1}{3}$
( C ) $\frac{1}{4}$
( D ) $\frac{1}{6}$

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