.
Write the fractions with the common denominator. Then simplify using = 1. Then cancel the common factors.
=
= =
= =
= = = =
= = 2*cosec(x).
To see more solved similar problems on proving trigonometry identities look into the lesson
- Proving Trigonometry identities
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Trigonometry: Solved problems".