Question

if cosecx-sinx=a^3 and secx-cosx=b^3, then a^2b^2(a^2+b^2)=

Answer 1

http://www.goiit.com/posts/list/trignometry-if-cosecx-sinx-a-3-secx-cosx-b-3-then-prove-that-1048898.htm

Answer 2

Basic idea is to first express a^2 and b^2 in terms of trigonometric quantities given. Then we simply plug in a^2 and b^2 to a^2b^2(a^2+b^2) and simplify.