Let f be a quadratic polynomial such that f(−π)=f(π)=0 and f(π2)= – InterviewSolution

1.	Let f be a quadratic polynomial such that f(−π)=f(π)=0 and f(π2)=3π24. If limx→πf(x)⋅cos(sinx)⋅cosec(sinx)=mπ, then the value of m is
Answer» Let $f$ be a quadratic polynomial such that $f (- π) = f (π) = 0$ and $f (\frac{π}{2}) = \frac{3 π^{2}}{4}$ . If $lim x \to π f (x) \cdot cos (sin x) \cdot cosec (sin x) = m π,$ then the value of $m$ is

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