Solve 7 sin theta 2 3 sin theta 1 for 0 degree lessthanor

Solve 7 sin theta - 2 = 3 sin theta - 1 for 0 degree lessthanorequalto theta

Solution

7 sin theta - 2 = 3 sin theta -1

adding 2 on both sides

7 sin theta = 3 sin theta + 1

subtracting 3 sin theta from both sides

4 sin theta = 1

sin theta = 1/4

theta = sin^-1 (1/4)

theta = 14.48 degrees , 165.52 degrees