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Question

If y=sin(sinx) and d2ydx2+dydxtanx+f(x)=0, then f(x) equals

A
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B
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C
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D
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Solution

The correct option is D
dydx=cos(sinx)cosxd2ydx2=cos(sinx)sinx+cos[sin(sinx)]cosxd2ydx2+dydxtanx+cos2xsin(sinx)=0f(x)=cos2xsin(sinx)

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