A) 1
B) 2
C) 3
D) 4
Correct Answer: B
Solution :
On differentiating both sides with respect to x, we get \[0-{{\sin }^{2}}\,x.f(\sin x)\,\cos x=-\cos x\,\] \[\Rightarrow \,\,f(\sin x)=\frac{1}{{{\sin }^{2}}x}\] \[\therefore \,\,f\left( \frac{1}{\sqrt{2}} \right)\,={{(\sqrt{2})}^{2}}=2\]You need to login to perform this action.
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