SOLUTION: Hello :) Could use your help on a question here :P Solve 4sin^2(2x)=3 when x is equal or more than 0degree but less than or equal to 180degrees Obviously I got to sin^2(2x)=3

Algebra ->  Trigonometry-basics -> SOLUTION: Hello :) Could use your help on a question here :P Solve 4sin^2(2x)=3 when x is equal or more than 0degree but less than or equal to 180degrees Obviously I got to sin^2(2x)=3      Log On


   



Question 388726: Hello :) Could use your help on a question here :P
Solve 4sin^2(2x)=3 when x is equal or more than 0degree but less than or equal to 180degrees
Obviously I got to sin^2(2x)=3/4 but that's when the problem starts...
I am not sure how to solve sin^2(2x) as I've never seemed to have encountered simliar questions before and the internet just gives obvious stuffs that I already know.
Thank you very much! :D

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have

sin%5E2+%282x%29+=+3

sin+2x+=+0+%2B-+sqrt%283%29%2F2

2x = 60, 120, 240, 300, 420, 480, etc.

x = 30, 60, 120, 150