SOLUTION: how do I solve 2cosxcscx-4cosx-cscx+2=0 thank you!

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Question 543836: how do I solve 2cosxcscx-4cosx-cscx+2=0
thank you!
Answer by lwsshak3(11628) About Me  (Show Source):
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how do I solve 2cosxcscx-4cosx-cscx+2=0
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0 < x < π/2
2cosxcscx-4cosx-cscx+2=0
cscx(2cosx-1)-2(2cosx-1)=0
(2cosx-1)(cscx-2)=0
(2cosx-1)=0
cosx=1/2
x=π/3
or
cscx-2=0
cscx=2
sinx=1/2
x=π/6