Question

If tan x=3, find tan (-x)

Answer 1

First solve for x
X=arc tan3
X=71.56505

Tan(-x)
Tan(-71.56505)
-3

So that means


Conclusion:
If tan x = 3
Making x negative will also make 3 negative

Answer 2

tan(-x) = - tan(x) = -3

Answer 3

tangent is an odd function, so tan(-x)=-tan(x)