Question

Help please,
If tan(x)=2 and tan(x+y)=135
Find tan(y)

Answer 1

sin(x+y)
tan(x+y) = ---------- =
cos(x+y)

hope you know these formulas and will can continue it

Answer 2

Ok , I'll try that, so far I've only tried the tangent addition identity
which is
tan(x)+tan(y)
------------
1-tan(x)tan(y)

Answer 3

Do you think that would work if I took that route?

Answer 4

Since the only other info that you were given is "tan x =2," yes, I think you should stay with the sum formula for the tangent.

Answer 5

\[\Large \tan(x+y) = \frac{\tan(x)+\tan(y)}{1-\tan(x)\tan(y)}\]

\[\Large 135 = \frac{2+\tan(y)}{1-2\tan(y)}\]

\[\Large 135 = \frac{2+z}{1-2z} \ ... \ \text{Let } z = \tan(y)\]

now solve for z

Answer 6

All right thanks guys :)