Posted by Sh on .
solve each identity algebraically
1)(1tanx)/(1cotx)=tanx
2)(1+cotx)/(1+tanx)=cotx

math 
Reiny,
my usual approach is to start with the "messy" side, and change everything to sines and cosines.
LS
=(1 sinx/cosx)/(1  cosx/sinx)
= (cosxsinx)/cosx * (sinx)/ (sinx  cosx)
= (1)sinx/cosx
= tanx
perform similar steps for the second one, bet you'll get it 
math 
Sh,
I got (1 sinx/cosx)/(1  cosx/sinx)
but how did (1 sinx/cosx) turn to (cosxsinx)/cosx? 
math 
Sh,
nevermind, found out :) thanks