Question

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

StartFraction tangent (x) minus tangent (pi) Over 1 minus (tangent (x) ) (tangent (pi) ) EndFraction
StartFraction tangent (x) minus tangent (pi) Over 1 + (tangent (x) ) (tangent (pi) ) EndFraction
StartFraction tangent (x) + tangent (pi) Over 1 minus (tangent (x) ) (tangent (pi) ) EndFraction
StartFraction tangent (x) + tangent (pi) Over 1 + (tangent (x) ) (tangent (pi) ) EndFraction

Answer 1

B on edge

Explanation:

Answer 2

`Tan(x - \pi) = (Tan\ x - Tan\pi)/(1 + Tanx\ Tan\pi)`

Explanation:

Given

`tan(x - \pi)`

Required

Evaluate

To solve this, we simply tangent formula in trigonometry;

i.e.

`Tan(A - B) = (Tan\ A - Tan\ B)/(1 + TanA\ TanB)`

In this case:

`A = x`

`B = \pi`

i.e we substitute x for A and π for B.

So, we have:

`Tan(x - \pi) = (Tan\ x - Tan\pi)/(1 + Tanx\ Tan\pi)`