Math Is Fun Forum

Hi guys! Couple of quick questions-

1. (tan^2(x) +1) (cos^2(x) +1)= tan^2(x) +2

2. sin^3(x) - cos^3(x) divided by sin(x)-cos(x)= 1+sin(x)cos(x)

The basic idea is to prove that whatever is on the left side is exactly the same thing as the stuff on the right side... so.. (in the end) i should get 1+sin(x)cos(x)=1+sin(x)cos(x). Im confused on how to get to that point however.

Thanks a ton for all the help!