SOLUTION: solve algebraically for all values of theta in the interval 0-360 that satisfy the equation sin^2 theta/1+cos theta = 1

Algebra ->  Trigonometry-basics -> SOLUTION: solve algebraically for all values of theta in the interval 0-360 that satisfy the equation sin^2 theta/1+cos theta = 1      Log On


   



Question 603634: solve algebraically for all values of theta in the interval 0-360 that satisfy the equation sin^2 theta/1+cos theta = 1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve algebraically for all values of theta in the interval 0-360 that satisfy the equation sin^2 theta/1+cos theta = 1
**
sin^2x/(1+cosx)=1
sin^2x=1+cosx
1-cos^2x=1+cosx
cos^2x+cosx=0
cosx(cosx+1)=0
cosx=0
x=π/2 and 3π/2
or
cosx+1=0
cosx=-1
x=π
..
ans: π/2, π, and 3π/2