SOLUTION: Why 1-sin^2x/sinx-cscx? is -sinx??? I thought it was sinx, but the answer says -sinx, how do you get that - ? I found this answer online, but I still don't get how they got tha

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Question 978241: Why 1-sin^2x/sinx-cscx? is -sinx??? I thought it was sinx, but the answer says -sinx, how do you get that - ?
I found this answer online, but I still don't get how they got that negative answer at the end, why he multiplied that times -1 ?
1 - sin ² x
--------------
sin x - csc x
1 - sin ² x
--------------------
sin x - 1/sin x
sin x ( 1 - sin ² x )
--------------------------
sin ² x - 1
- ( sin ² x - 1 ) sin x
----------------------------
sin ² x - 1
- sin x
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Starting with lefthand side,













and you can see the last step...
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Why 1-sin^2x/sinx-cscx? is -sinx??? I thought it was sinx, but the answer says -sinx, how do you get that - ?
I found this answer online, but I still don't get how they got that negative answer at the end, why he multiplied that times -1 ?
1 - sin ² x
--------------
sin x - csc x
1 - sin ² x
--------------------
sin x - 1/sin x
sin x ( 1 - sin ² x )
--------------------------
sin ² x - 1
- ( sin ² x - 1 ) sin x
----------------------------
sin ² x - 1
- sin x 


 -------------- Replacing  with , and  with 





 ------ Replacing  with 



_____ 

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