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Prove the identitiy

1+tan/1+cot=1-tan/cot-1
answer this fr me
I don't get it
thanks a lot people

First, try rewriting it in terms of sin(x) and cos(x).

Left side:

$\frac{1+\frac{sin(x)}{cos(x)}}{1+\frac{cos(x)}{sin (x)}}$

$=\frac{\frac{cos(x)+sin(x)}{cos(x)}}{\frac{sin(x)+ cos(x)}{sin(x)}}$

$=\frac{cos(x)+sin(x)}{cos(x)}\cdot\frac{sin(x)}{si n(x)+cos(x)}$

Try the same with the right side. Show they are the same.

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