You can put this solution on YOUR website! Solve the given equation cos2theta= 3sintheta-1
-----------
cos(2t) = 3sin(t) - 1
1 - 2sin^2(t) = 3sin(t) - 1
2sin^2(t) + 3sin(t) - 2 = 0
Sub x for sin(t)
x = -3/4 ± 5/4
x = -2
No real number solution
----------
x = 1/2
sin(t) = 1/2
theta = pi/6 + 2n*pi, n = 0,1,2,3...
theta = 5pi/6 + 2n*pi, n = 0,1,2,3...
