I'd greatly appreciate is somebody proved the following true.
1. 1-sinx/1+sinx = (secx-tanx)^2
2. sinx+1/cosx+cotx = tanx
3. sin^2x-tan^2x/1-sec^2x = sin^2x
For the love of God, PLEASE use parenthesis! I wasted more than 10 minutes struggling with this before I understood what you meant. Your question should be typed as
(sinx+1)/(cosx+cotx) = tanx
If you don't understand the confusion, then please review order of operations.
Okay.
-Dan