1. Trigonometry 2

$sin(x+y) = m$ and $sin(x-y) = n$, $\frac{tgx}{tgy}$ is ?

2. Originally Posted by Apprentice123
$sin(x+y) = m$ and $sin(x-y) = n$, $\frac{tgx}{tgy}$ is ?
note that $\frac {\tan x}{\tan y} = \frac {\sin x \cos y}{\sin y \cos x}$

now, use the addition formula to expand $\sin (x + y)$ and $\sin (x - y)$ and see if you can form an expression equivalent to the one above

3. thank you