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Mathematics · 2014
JEE Main 2014 · 2014-04-06 Offline · Q88
Let f_k (x)=1/(k)( sin^k x+ cos^k x) where x ∈ R and k ≥ 1. Then f_4(x)-f_6(x) equals:
Let $\displaystyle f_{\mathrm{k}}(x)=\frac{1}{\mathrm{k}}\left(\sin ^{\mathrm{k}} x+\cos ^{\mathrm{k}} x\right)$ where $\displaystyle x \in \mathbf{R}$ and $\displaystyle \mathrm{k} \geqslant 1$. Then $\displaystyle f_4(x)-f_6(x)$ equals :
Official answer
(2)
$\displaystyle \frac{1}{12}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.