Question

Verify: 1/cscX+1 + 1/csc-1 = 2tanX/cos

Should I find the common denominator and then simplify? I keep trying to do this but end up at

cscX-1/csc^2X-1 + cscX+1/csc^2X

It looks all wrong. Please help. T_T

Answer 1

Sorry I left some of the X's out. Jut noticed. :x

Answer 2

deal with cscx+1

Answer 3

\[\csc x+1=\frac{ 1+\sin x }{ \sin x }\]
\[\csc x-1=\frac{ 1-\sin x }{ \sin x }\]

inverted

Answer 4

\[\frac{ \sin x }{\sin x +1}+\frac{ \sin x }{ \sin x-1 }\]

Answer 5

Thank you, I'm going to try to work this out now from the beginning to make sure I am understanding this. I've never seen sec presented that way.

Answer 6

\[\csc x=\frac{ 1 }{ \sin x }\]
so add 1 both sides