Mathematics: Which expression is equivalent to tan(x – pi)?

step-by-step explanation: do it on your own or i will make you turn naked...

Which expression is equivalent to tan(x – pi)?

QTpieNay

17.04.2021

$tan(x - \pi) = tan x$

Step-by-step explanation:

Given

$tan(x - \pi)$

Required

Solve

Tan rule states that:

$tan(A - B) = \frac{tan A - tan B}{1 + tanAtanB}$

So, we have:

$tan(x - \pi) = \frac{tan x - tan \pi}{1 + tanx * tan\pi}$

$tan\pi = 0$

So:

$tan(x - \pi) = \frac{tan x - 0}{1 + tanx * 0}$

$tan(x - \pi) = \frac{tan x }{1 + 0}$

$tan(x - \pi) = \frac{tan x }{1}$

$tan(x - \pi) = tan x$

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