MathematicsEasy38×since 2002Q3565A 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 toA2B1C−-−1D0Check answerSkip