SOLUTION: Find the solution of sin 2&#952;=cos&#952; if 0°<or=&#952;<180°. Thank You

Algebra ->  Trigonometry-basics -> SOLUTION: Find the solution of sin 2&#952;=cos&#952; if 0°<or=&#952;<180°. Thank You       Log On


   

Question 42530: Find the solution of sin 2θ=cosθ if 0° Thank You

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let q be theta...
Thus if
sin 2q = cos q we have
2 sin q cos q = cos q
2 sin q = 1
sin q = 1/2
and
q = 30 degrees or 150 degrees or, in radians, (pi)/6 or 5(pi)/6