Given that (tan x = frac{5}{12}), and (tan y = frac{3}{4}), Find (tan (x + y)).
-
A.
(frac{16}{33}) -
B.
(frac{33}{56}) -
C.
(frac{33}{16}) -
D.
(frac{56}{33})
Correct Answer: Option D
Explanation
(tan (x + y) = frac{tan x + tan y}{1 – tan xtan y})
(tan x = frac{5}{12} ; tan y = frac{3}{4})
(tan (x + y) = frac{frac{5}{12} + frac{3}{4}}{1 – (frac{5}{12} times frac{3}{4}}))
= (frac{frac{14}{12}}{frac{33}{48}})
= (frac{56}{33})