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The number of solutions of 2cosx=|sinx|,...

The number of solutions of `2cosx=|sinx|,0lt=xlt=4pi,` is (a) 0 (b) 2 (c) 4 (d) infinite

A

0

B

2

C

4

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
See the graph of `y=2 cos x and y=|sinx|.` Their points of intersection represent the solution of the given equation.

We find the graphs intersect at four points. Hence, the equation has four solutions.
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