ory Bookmarks Window Help O TRIGONOMETRIC IDENTITIES AND EQU

ory Bookmarks Window Help O TRIGONOMETRIC IDENTITIES AND EQUATIONS Finding solutions in an interval for a trigonometric equ Find all solutions of the equation in the interval 10, 2) 2x 2 cos-2 0 write your answer in radians in terms of If there is more than one solution, separate them with commas.

Solution

given 0<=x<2

=>0<=2x_/3<4_/3

given 2cos(2x_/3) -2 =0

2cos(2x_/3) =2

cos(2x_/3) =2_/2

(2x_/3) =_/4

x=3_/2 *_/4

x=3_/8