Question
If $2 f(\sin x)+f(\cos x)=x$, then $\frac{d}{d x} f(x)$ is(A) $\sin x+\cos x$(B) 2(C) $\frac{1}{\sqrt{1-x^{2}}}$(D) None of these
Step 1
Let's replace $x$ by $\pi/2 - x$. So, the equation becomes $2f(\cos x) + f(\sin x) = \pi/2 - x$. Show more…
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