SOLUTION: Cos(theta)*sin(2theta) = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Cos(theta)*sin(2theta) = 0       Log On


   



Question 835643: Cos(theta)*sin(2theta) = 0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
cos(theta)*sin(2theta) = 0

cos(theta)*2*sin(theta)*cos(theta) = 0

2*cos(theta)*cos(theta)*sin(theta) = 0

2*cos^2(theta)*sin(theta) = 0

cos^2(theta) = 0 or sin(theta) = 0

cos(theta) = sqrt(0) or sin(theta) = 0

cos(theta) = 0 or sin(theta) = 0

theta = arccos(0) or theta = arcsin(0)

theta = pi/2 or 3pi/2 or theta = 0 or pi

=======================================================

If we're in the interval [0, 2pi), then the final answers are: theta = 0, theta = pi, theta = pi/2, theta = 3pi/2