how to prove that

cot A/(1-tanA) + tanA/(1-cotA) = 1 + secA cosecA

I know there are some people in the forums with a degree in mathematics. Hopefully you all can explain to me how to solve it.

cot A/(1-tanA) + tanA/(1-cotA) = 1 + secA cosecA

I know there are some people in the forums with a degree in mathematics. Hopefully you all can explain to me how to solve it.

Elementary calculations (well, it was more excercise from TeX than from the math...).

Thanks. But the question really got me thinking for some hours.