Prove that tanx/sin^2x=±√1+tan^2x/1-cos^2x

Question

Please help me answer my h.w, thank you.

Answer 1

First of all, Patrick B. already did this problem for you. Secondly, you should memorize a lot of the trig identities. Thirdly, you should put in grouping symbols where they belong so as not to cause confusion.

I'll give you the trig identities and you put them in and prove the statement.

tan=sin/cos

1+tan^2=sec^2

sec=1/cos

1-cos^2=sin^2