Precalculus Proofs :(

[ash975]

Alright, so i need to figure out why tan(x)/ (1-cot(x)) + cot(x)/(1-tan(x)) = 1+sec(x)csc(x)
If someone could go through the steps and show me how its done that'd be really really great! Thanks!

 

[mmm4444bot]

i need to figure out why tan(x)/(1-cot(x)) + cot(x)/(1-tan(x)) = 1+sec(x)csc(x)

If someone could go through the steps and show me how its done that'd be really really great!

We can help you at the point where you get stuck. The first step is to rewrite all of those trig functions in terms of sin(x) and cos(x).

Then simplify the left-hand side.

It will match the rewriten right-hand side.

Have you already rewritten the givens, using the basic definitions (identities)?

Here is a link to the basic trig identities.

Here is a link to google results for how to simplify complex fractions.

How may we help you?