SOLUTION: how to establish this trigonometry identity function 1-cosx/1+cosx = (cscx-cotx)^2 I tried to do it by using (a-b)^2 , but i got stuck in meddle of the works Can someone gi

Algebra ->  Trigonometry-basics -> SOLUTION: how to establish this trigonometry identity function 1-cosx/1+cosx = (cscx-cotx)^2 I tried to do it by using (a-b)^2 , but i got stuck in meddle of the works Can someone gi      Log On


   

Question 1114560: how to establish this trigonometry identity function
1-cosx/1+cosx = (cscx-cotx)^2
I tried to do it by using (a-b)^2 , but i got stuck in meddle of the works
Can someone give me some tips about this trig id function ? Thank You
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


It would help us to help you if you showed us your work -- instead of simply saying your tried it and it didn't work.

This one works out very nicely if you use (a-b)^2 to expand the right hand side.

%28cscx-cotx%29%5E2+=+%281%2Fsinx-cosx%2Fsinx%29%5E2+=+%281-cosx%29%5E2%2F%28sinx%29%5E2

Then use the most common trig identity (which you will use 10 times as often as all the others together) to get the expression in terms of cosx only: