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The number of solutions of the equation ...

The number of solutions of the equation `sin 2 theta-2 cos theta +4 sin theta=4` in `[0, 5pi]` is equal to

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
`sin 2 theta -2 cos theta + 4 sin theta =4`
`rArr (2 sin theta cos theta + 4 sin theta)=(2 cos theta +4)`
`rArr sin theta( cos theta +2) = (cos theta +2)`
`:. sin theta=1`
`rArr theta = pi/2, (5pi)/2, (9pi)/2`
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