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Question Id : 16145 | Context : JEE Main 2014 (Offline)
Let $f_{k}(x)=\dfrac{1}{k}(\sin^{k}x+\cos^{k}x)$ where $x\in\mathbb{R}$ and $k\ge 1$. Then $f_{4}(x)-f_{6}(x)$ equals :

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