# $\cot{(45^°)}$ value

The value of cot function when angle of right triangle equals to $45^°$ is called cot of angle $45$ degrees. As per sexagesimal system, it is written as $\cot{(45^°)}$ in mathematics.

$\cot{(45^°)} \,=\, 1$

The exact value of cot of angle $45$ degrees is equal to $1$ and it is also an integer.

## Alternative form

$\cot{(45^°)}$ can be written in alternative form as $\cot{\Big(\dfrac{\pi}{4}\Big)}$ in circular system and also written as $\cot{(50^g)}$ in centesimal system.

$(1) \,\,\,$ $\cot{\Big(\dfrac{\pi}{4}\Big)} \,=\, 1$

$(2) \,\,\,$ $\cot{(50^g)} \,=\, 1$

### Proof

Now, you learnt the exact value of cot of angle $45$ degrees and you can also learn how to derive $\cot{\Big(\dfrac{\pi}{4}\Big)}$ in trigonometry.