How do you verify the identity cotalpha/(cscalpha+1)=(cscalpha-1)/cotalpha?

1 Answer
Feb 6, 2017

Please see below.

Explanation:

cotalpha/(cscalpha+1)

= cotalpha/(cscalpha+1)xxcotalpha/cotalpha

= cot^2alpha/(cotalpha(cscalpha+1))

= (csc^2alpha-1)/(cotalpha(cscalpha+1))

= ((cscalpha-1)(cscalpha+1))/(cotalpha(cscalpha+1))

= (cscalpha-1)/cotalpha