Find all solutions of the given equation Enter your answers

Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) 4 cos^2(theta) - 3 = 0 theta = rad

Solution

Given

4*(cos)^2 - 3 = 0

4*(cos)^2 = 3

(cos)^2 = 3/4

cos = 0.866, -0.866

= arccos(0.866) and arccos(-0.866)

= 30 degree and 150 degree

= pi/6 and 5pi/6 radians