-2x2 - x + 7 +x2 +4x-5

Mathematics

1 answer:

Arada [10]3 years ago

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Step-by-step explanation:

-x^2 + 3x + 2

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What is tan(x)-5=0 (With steps)

gizmo_the_mogwai [7]

$\tan x-5=0$
$\tan x=5$

Now before taking the inverse tangent of both sides, recall that

$\tan x=\tan(x\pm\pi)=\tan(x\pm2\pi)=\cdots=\tan(x\pm n\pi)$

where $n$ is any integer. This means that when taking the inverse tangent of $\tan x$ , instead of just $x$ , we would end up with

$\arctan(\tan x)=\arctan(\tan(x+n\pi))=x\pm n\pi$

So after doing so in the equation above, we're left with

$x\pm n\pi=\arctan5\implies x=\arctan5\pm n\pi$

As $n$ can be any integer, including negative integers, we can simply write

$x=\arctan5+n\pi,\,n\in\mathbb Z$