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Question

The number of values of x where the function f(x) = 2 (cos 3x + cos 3x attains its maximum, is


A

1

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B

2

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C

0

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D

Infinite

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Solution

The correct option is A

1


We have,
f(x)=2(cos 3x+cos3x)=4 cos(3+32)x cos(332)x4
and it is equal to 4 when both cos (3+32) x and cos(332)

Are equal to 1 for a value of x. This is possible only when x = 0.
Hence (a) is the correct answer.

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