SOLUTION: Verify the identity. (cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + cos(y)) = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the identity. (cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + cos(y)) = 0      Log On


   

Question 140847: Verify the identity.
(cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + cos(y)) = 0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


LCD is just the product of the denominators, so:


(Difference of 2 squares)





%281-1%29%2F%28%28sin%28x%29%2Bsin%28y%29%29%28cos%28x%29+%2B+cos%28y%29%29%29=0 (because cos%5E2%28alpha%29%2Bsin%5E2%28alpha%29=1)

0%2F%28%28sin%28x%29%2Bsin%28y%29%29%28cos%28x%29+%2B+cos%28y%29%29%29=0