If the sum of all possible value(s) of x satisfying sin3x(sin3x−cosx – InterviewSolution

1.	If the sum of all possible value(s) of x satisfying sin3x(sin3x−cosx)=sinx(sinx−cos3x), where x∈[0,2π] is aπb, where a and b are coprime, then the value of (a+b) is
Answer» If the sum of all possible value(s) of $x$ satisfying $sin 3 x (sin 3 x - cos x) = sin x (sin x - cos 3 x)$ , where $x \in [0, 2 π]$ is $\frac{a π}{b}$ , where $a$ and $b$ are coprime, then the value of $(a + b)$ is

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