SOLUTION: how do i prove that cotx / cscx - 1 = cscx + 1 / cotx

Algebra ->  Trigonometry-basics -> SOLUTION: how do i prove that cotx / cscx - 1 = cscx + 1 / cotx       Log On


   



Question 716275: how do i prove that cotx / cscx - 1 = cscx + 1 / cotx
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do i prove that cotx / cscx - 1 = cscx + 1 / cotx
-----------
Is it cotx / (cscx - 1) = (cscx + 1) / cotx ?
--------------
Cross multiply
cot^2 = csc^2 - 1
Multiply thru by sin^2
cos^2 = 1 - sin^2
I'm convinced.