SOLUTION: Solve {{{ 2sin^2(x)+ 5sin( x )-3 = 0}}} Thanks for the help.

Algebra ->  Equations -> SOLUTION: Solve {{{ 2sin^2(x)+ 5sin( x )-3 = 0}}} Thanks for the help.      Log On


   

Question 502791: Solve +2sin%5E2%28x%29%2B+5sin%28+x+%29-3+=+0
Thanks for the help.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
2sin^2(x)+ 5sin( x )-3 = 0
(2sinx-1)(sinx+3)=0
(sinx+3)=0
sinx=-3 (reject, -1 ≤ sinx ≤ 1)
2sinx-1=0
sin x=1/2
x=π/6 (for x between 0 and π/2)