# Inverse Cotangent Function

#### 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???

#### dwsmith

MHF Hall of Honor
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

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

• nee

#### Drexel28

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

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

or

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