Question

Prove equation is an identity: csc(x)-sin(x)/csc(x) = cos^2(x)

Answer 1

Should I substitute 1/sin(x) for csc? I'm not sure on how to simplify that and get 1-sin^2(x) so it equals cos^2(x)

Answer 2

yes you should

Answer 3

\[\frac{ 1 }{ \sin (x) } - \sin (x)\div \frac{ 1 }{ \sin(x) } = \frac{1-\sin ^{2} }{ \sin (x)} \]

Answer 4

Hold on.

Answer 5

How do you get rid of the other sin(x)?

Answer 6

Do you understand?

Answer 7

Yes, thank you

Answer 8

you're welcome! :) can you try looking at my ?

Answer 9

yep