SOLUTION: If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)

Algebra ->  Trigonometry-basics -> SOLUTION: If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)      Log On


   

Question 1188278: If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If tan(x) + tan(y) = 4 and cot(x) + cot(y) = 5, find the value of tan(x+y)
====================
Sub r for tan(x) and s for tan(y)
---
r + s = 4
1%2Fr+%2B+1%2Fs+=+5
s+%2B+r+=+5rs
4 = 5rs
4 = tan(x)*tan(y)
tan(x) + tan(y) = tan(x)*tan(y)
------------------
bbl