Question

How do you simplify `tan(x+pi)`?

Answer 1

This simplifies to `tanx`

Explanation:

We use the addition formula for tangent, `tan(A + B) = (tanA + tanB)/(1 - tanAtanB)`, and the fact that `tan(pi) = 0/1 = 0`.

Therefore:

`tan(x + pi) = (tanx + tan(pi))/(1 - tanxtan(pi)) = (tanx + 0)/(1 - 0) = tanx`

Hopefully this helps!