please show all steps Thank you Prev Up Next 6 pts Find all

please show all steps. Thank you!

Prev Up Next (6 pts) Find all solutions of the equation 2 cos 32 The answer is X! 1 in the interval ), ). -- ,T2 = and 23 = with I1

Solution

given 2cos3x= 1, [0,pi)

cos3x = 1/2

3x = pi/3 + 2pin

x=pi/9 + 2pin/3 here n=0,1,2,....

x1 = pi/9 , x2=5pi/9 , x3= 7pi/9