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The number of solution of the equation |...

The number of solution of the equation `|sin x|=|cos 3x|` in `[-2pi,2pi]` is

A

32

B

28

C

24

D

30

Text Solution

Verified by Experts

The correct Answer is:
C
We have `|sin x|=|cos 3x|`
Period of `|sin x|` is `pi` and period of `|cos 3x|` is `pi//3`
L.C.M. of `pi` and `pi//3` is `pi`
So let us check the roots of equation for `x in [0, pi]`
Draw the graphs of `y=|sin x|` and `y=|cos 3x|` for `x in [0, pi]`

From the graph, there are 6 solutions.
So for `x in [-2pi, 2pi]`, there are 24 solutions.
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