SOLUTION: Prove that (cot y - cot x) / (cot x + cot y) = sin (x-y) / (sin x + y)

Algebra ->  Trigonometry-basics -> SOLUTION: Prove that (cot y - cot x) / (cot x + cot y) = sin (x-y) / (sin x + y)      Log On


   

Question 969954: Prove that (cot y - cot x) / (cot x + cot y) = sin (x-y) / (sin x + y)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove that (cot y - cot x) / (cot x + cot y) = sin (x-y) / (sin x + y)
start with left side
%28cot+y+-+cot+x%29+%2F+%28cot+x+%2B+cot+y%29
..

note: denominators (sinxsiny) cancel out
..
%28%28cosysinx%29+-+%28sinycosx%29%29+%2F+%28%28cosxsiny%29+%2B+%28sinxcosy%29%29
note: terms rearranged

verified: left side=right side