Proving Basic Problems (Dealing with Sin, Cos, Tan)

Question

Prove:

 

sinx/sinx+cosx)=tanx/1+tanx

 

If you could, please list the steps and include the identities next to the steps.

Answer 1

Devide the left side by cosx:

(sinx/cosx)/ (sinx/cosx+cosx/cosx) 

since sinx/cosx=tanx

so it = tanx/(tanx+1)

= tanx/(1+tanx)