Find all solution [0,2pi): 4sin^2x=1

Question

Please show all work so it is easy to understand.

Answer 1

Rewrite the equation:

sin^2(x) = 1/4

Thus x = ±1/2

In a full circle (0 to 2pi), this happens at 4 angles, one of which is 30 degrees. Plotting the possible angles on graph paper, you should be able to see the other ones