An equation ids given 2 cos3 theta 1 find all solution of t

An equation ids given. 2 cos(3 theta) = 1 find all solution of the equation Find the solution in the interval (0, 2 pi) solve the equation by factoring 3 tan^2(theta) - 3 tan^2(theta) - tan(theta) + 1 = 0

Solution

2*cos3x = 1

cos3x = 1/2

3x = arccos (1/2) = 60, 300

× = 20, 100 degrees

x = pi/9, 5pi/9 radians