How do you find the value of $cot((3pi)/2)$ ?

Question

14377 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-08T13:30:25

$cot((3pi)/2) = 0$

As you know, $cot(x) = cos(x) / sin(x)$ .

Thus, you can compute the value of

$cos((3pi)/2) /sin((3pi)/2)$

instead.

Let's take a look at the $sin$ and $cos$ functions:

![https://de.wikipedia.org/wiki/Sinus_und_Kosinus]( useruploads.socratic.org )

As you can see, $sin((3pi)/2) = -1$ and $cos((3pi)/2) = 0$ .

Thus,

$cot((3pi)/2) = 0 / (-1) = 0$ .

How do you find the value of cot((3pi)/2)cot((3pi)/2)?