Answer:
Theta = 0, 60 degrees.
Step-by-step explanation:
2 sin^2 theta + 3 cos theta = 3
Using the identity sin ^2 theta = 1 - cos^2 theta :
2(1 - cos^2 theta) + 3 cos theta = 3
2 - 2cos^2 theta) + 3 cos theta = 3
2 cos^2 theta - 3 cos theta + 3 - 2 = 0
2 cos^2 theta - 3 cos theta + 1 = 0
(2 cos theta - 1)(cos theta - 1) = 0
cos theta = 1/2 , cos theta = 1
Theta = 60 degrees or theta = 0
