SOLUTION: What are the x's of: csc^2(x)=csc(x)+2

Algebra ->  Trigonometry-basics -> SOLUTION: What are the x's of: csc^2(x)=csc(x)+2      Log On


   

Question 750777: What are the x's of: csc^2(x)=csc(x)+2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What are the x's of:
0 ≤ cos(x) ≤ 2π
csc^2(x)=csc(x)+2
csc^2(x)-csc(x)-2=0
(csc(x)-2)(csc(x)+1)=0
csc(x)-2=0
csc(x)=2
sin(x)=1/2
x=π/6, 5π/6
(csc(x)+1=0
csc(x)=-1
sin(x)=-1
x=π
x's are π/6, 5π/6 and π