SOLUTION: csc^2 x - 3csc x = -2

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Question 857686: csc^2 x - 3csc x = -2
Answer by mananth(16946) About Me  (Show Source):
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csc^2 x - 3csc x = -2

1/sin^2(x) - 3/sin(x) =-2
(1-3sin(x))/sin^2(x) =-2

(1-3sin(x))=-2sin^2(x)
1-3sin(x) +2sin^2(x)=0
1-2sin(x)-sin(x)+2sin^2(x)=0
1(1-sin(x))-sin(x)(1-sin(x))=0

(1-sin(x))(1-sin(x))=0
(1-sin(x))^2=0
1-sin(x) =0
sin(x)=1