Solve the equation 3cosx equals 2 for 0dgrees x 360degrees?

To solve this equation, you must first put the equation in terms of cosx.

3cosx=2

cosx = 2/3

Next, you find the reference angle (α) by finding the cos inverse of 2/3.

α=cos-1(2/3) = 48.19 Degrees (approximately)

find the distance from from 48.19 and 90 you then add the difference to 270 giving you the two answers which are ... 48.19 and 311.81 (approximately)