Question

If tan x is -1, simplify tan(pi/3+x).

Answer exact value and rationalize denominator.

Answer 1

\[\tan(\frac{ π }{ 3 } + x) = \frac{ \tan(π/3) + \tan x }{ 1 - \tan(π/3)\tan x }\]\[= \frac{ \sqrt{3} + \tan x }{ 1 - \sqrt{3} \tan x}\]

Answer 2

I'm sure you can rationalize it yourelf.

Answer 3

And simplify too. Just plug.

Answer 4

great, thank you

Answer 5

would it be