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The number of solution of the equation |...

The number of solution of the equation `|cos x|=cos x-2 sin x "in"[0,6 pi]` is

A

3

B

5

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Case I : `cos x ge 0`
`therefore cos x = cos x -2 sin x`
`therefore sin x =0`
`therefore x = 0, 2pi, 4pi, 6pi`
Case II: `cos x lt 0`
`therefore tan x =1`
`therefore` x lies in the third quadrant.
`therefore x=(5pi)/(4),(5pi)/(4),+2pi,(5pi)/(4)+4pi`
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