JEE Main 202429 Jan, Morning shiftMathematicsEasyDifferential Equations163× since 2002A function y=f(x)y=f(x)y=f(x) satisfies f(x)sin2x+sinx−(1+cos2x)f′(x)=0f(x) \sin 2 x+\sin x-\left(1+\cos ^2 x\right) f^{\prime}(x)=0f(x)sin2x+sinx−(1+cos2x)f′(x)=0 with condition f(0)=0f(0)=0f(0)=0. Then, f(π2)f\left(\frac{\pi}{2}\right)f(2π) is equal toAOption A. 2BOption B. 1COption C. −-−1DOption D. 0CheckSkip · show solution