SOLUTION: find all solutions in the following interval 0 degrees (less than or equal to) theta (less than) 360 degrees. {{{ 2sin^2(theta)- sin(theta)= 1 }}}

Algebra ->  Trigonometry-basics -> SOLUTION: find all solutions in the following interval 0 degrees (less than or equal to) theta (less than) 360 degrees. {{{ 2sin^2(theta)- sin(theta)= 1 }}}       Log On


   

Question 868068: find all solutions in the following interval 0 degrees (less than or equal to) theta (less than) 360 degrees.
+2sin%5E2%28theta%29-+sin%28theta%29=+1+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let u=sin%28theta%29
2u%5E2-u=1
2u%5E2-u-1=0
%28u-1%29%282u%2B1%29=0
Two "u" solutions:
u-1=0
u=1
sin%28theta%29=1
theta=90
and
2u%2B1=0
2u=-1
u=-1%2F2
sin%28theta%29=-1%2F2
theta=210 and theta=330