JEE Main 20245 Apr, Evening shiftMathematicsMediumTrigonometry118× since 2002The number of solutions of sin2x+(2+2x−x2)sinx−3(x−1)2=0\sin ^2 x+\left(2+2 x-x^2\right) \sin x-3(x-1)^2=0sin2x+(2+2x−x2)sinx−3(x−1)2=0, where −π≤x≤π-\pi \leq x \leq \pi−π≤x≤π, is ________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution