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f(x)=cos(x^2018)sin x If M and m are max and min find M+m

Source: MTRP 2018 Class 11-Multiple Choice Question: Problem 5 :-

February 17, 2021

trigonometryalgebra

Problem Statement

Let the maximum and minimum value of

f(x)=\cos \left(x^{2018}\right) \sin x

are

M

and

m

respectively where

x \in[-2 \pi, 2 \pi] .

Then

M+m=

[*]

\frac{1}{2}

[*]

-\frac{1}{\sqrt{2}}

[*]

\frac{1}{2018}

[*] Does not exists