# Thread: Inverse Cotangent Function

1. ## Inverse Cotangent Function

The question states:
Find the exact value of each real number y. Do not use a calculator.

y = arccot (
-√3)

What's the process for finding the answer???

2. Originally Posted by nee
The question states:
Find the exact value of each real number y. Do not use a calculator.

y = arccot (
-√3)

What's the process for finding the answer???

$\displaystyle arccot=\frac{arccos}{arcsin}\rightarrow \frac{arccos(\frac{-\sqrt{3}}{2})}{arcsin(\frac{1}{2})}$

$\displaystyle arccos\bigg(\frac{-\sqrt{3}}{2}\bigg)=\frac{5\pi}{6}$

or

$\displaystyle arcsin\bigg(\frac{1}{2}\bigg)=\frac{5\pi}{6}$

3. Originally Posted by dwsmith
$\displaystyle arccot=\frac{arccos}{arcsin}\rightarrow \frac{arccos(\frac{-\sqrt{3}}{2})}{arcsin(\frac{1}{2})}$

$\displaystyle arccos\bigg(\frac{-\sqrt{3}}{2}\bigg)=\frac{5\pi}{6}$

or

$\displaystyle arcsin\bigg(\frac{1}{2}\bigg)=\frac{5\pi}{6}$
$\displaystyle \arctan(x){\color{red}\ne}\frac{\arcsin(x)}{\arcco s(x)}$