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  = x+1
(See attached file for full problem description)
Equalities are proven. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.