How do you prove #csctheta/sintheta=csc^2theta#?

1 Answer
Oct 7, 2016

Easy! Just remember that # 1/ sin theta = csc theta# and you will find that #csc theta / sin theta = csc^2 theta#

Explanation:

To prove that #csc theta / sin theta = csc^2 theta#, we have to remember that #csc theta = 1/ sin theta#

Proof: #csc theta / sin theta = csc^2 theta#

#(1/ sin theta) / sin theta = csc^2 theta#

#1/ sin theta * 1/ sin theta = csc^2 theta#

#1/ sin^2 theta = csc^2 theta#
So, #csc^2 theta = csc^2#

There you go :)