Question

Help I'm stuck on a trig question
if sin(x)= 3/5 and cos(y)=5/13 find the exact value of tan(x+y) (hint, you shouldn't have to evaluate x and y themselves)

Answer 1

please you have to apply this formula:
\[\tan(x+y)=\frac{ \tan x+\tan y }{ 1-\tan x*\tan y }\]
in order to that, you have to calculate cos(x) and sin (y), so do you know in whic quadrant are x and y respectively?

Answer 2

sorry, ...in which quadrants....

Answer 3

@dumbcow thanks!

Answer 4

Is it 5/13? Sorry if I'm wrong :/

Answer 5

you can get tan x and tan y from the right angled triangles withe sides 3-4-5 and 5-12-13