Question

2cos^2(6x) - 1 = 0

Could you show me how to solve this?

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Answer 1

Explanation:

2 cos^2 (6x) -1 = 0

cos^2 (6x) = 1/2

cos (6x) = +-sqrt (2) /2

6x = +- 45 degrees or +- 135 degrees = +- pi/4 or +- 3pi/4

x = +- 45/6 degrees or +- 135/6 degrees = +- pi/24 or +- 3pi/24