An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

2 cos 2θ − 1 = 0

a). Find all solutions of the equations

answer--> θ= (π+6nπ)/6 , (5π+6nπ)/6

b). Find the solutions in then interval [0,2π).

θ=___________

1 answer

Looks ok to me. It might be easier to read

π/6 + nπ
5π/6 + nπ

So, plug in various values of n to get all the solutions in [0,2π)

There will be four of them