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Question

Question: Total number of solutions of 2<sup>C0SX</sup> =\|sinx\| in [-2π, 5π] is equal to...

Total number of solutions of 2C0SX =|sinx| in [-2π, 5π] is equal to

A

12

B

14

C

16

D

15

Answer

14

Explanation

Solution

Graphs of y = 2C0SX and y = |sinx| meet four times in

[0, 2π], Thus total number of solutions = 4 + 4 + 4 + 2 = 14.