### Prove Equalities

The following two questions I have trouble with: 1. Show that (1- x) n-1. x = (1-x)n-1 - (1-x)n 2. Prove that if ,  are the roots of the equation t² - 2t + 2 then: (x +) n - (x+) n / ( -) = sin n / sin n where cot  =