How do you verify #csc^2(theta)(1-cos^2(theta))=1#?

Question

↳Redirected from "How do you calculate the Gibbs Free Energy change of a reaction?"

8463 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-06T22:57:14

True

#csc^2(theta)*(1-cos^2(theta))=1#

1) Solve on the left side. Notice the Pythagorean Identity.

#1-cos^2(theta) = sin^2(theta)#, this is just a jumbled version of #sin^2x +cos^2x = 1# identity.

2) implement the new value so that everything is sine on the left side.

#1/sin^2(theta)*sin^2(theta)/1 -> sin^2(theta)/sin^2(theta) -> 1#

It sounds like you just need to memorize the identities so you can spot them more easily in the future.