SOLUTION: Simplify the expression. (cotēα - 4) / (cotēα - cotα - 6)

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify the expression. (cotēα - 4) / (cotēα - cotα - 6)      Log On


   

Question 985634: Simplify the expression.
(cotēα - 4) / (cotēα - cotα - 6)
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
Question 985660
%28cot%5E2%28theta%29-4%29+%2F+%28cot%5E2%28theta%29+-+cot%28theta%5E%22%22%29+-+6%29

Let u+=+cot%28theta%29

%28u%5E2-4%29+%2F+%28u%5E2+-+u+-+6%29

Factor numerator and denominator

%28u-2%29%28u%2B2%29+%2F+%28%28u-3%29%28u%2B2%29%29

%28u-2%29%28cross%28u%2B2%29%29+%2F+%28%28u-3%29%28cross%28u%2B2%29%29%29

%28u-2%29+%2F+%28u-3%29

Substitute u+=+cot%28theta%29

%28cot%28theta%29-2%29+%2F+%28cot%28theta%29-3%29

Edwin