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

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Answer 1 · 2018-03-30T01:09:59

This simplifies to $tanx$

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!

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