SOLUTION: Find all solutions of the equation sin(2theta)sin(theta) = cos(theta) This is due tomorrow and I am very confused on how to do this, if you can help me that would be amazing

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation sin(2theta)sin(theta) = cos(theta) This is due tomorrow and I am very confused on how to do this, if you can help me that would be amazing       Log On


   

Question 871009: Find all solutions of the equation
sin(2theta)sin(theta) = cos(theta)
This is due tomorrow and I am very confused on how to do this, if you can help me that would be amazing :)
Thanks to all you wonderful people!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sin(2theta)sin(theta) = cos(theta)
2sin (theta)cos(theta). sin(theta)=cos(theta)
2sin^2(theta)cos(theta)=cos(theta)
2sin^2(theta) =cos(theta)/cos(theta)
2 sin^2(theta) = 1
sin^2(theta)=1/2
sin (theta)= +/- 1%2Fsqrt%282%29%29
so you can find theta