# Suppose in a right triangle, cos(t)=3/4. How do you find: cot(t)?

##### 1 Answer

Jun 20, 2018

#### Explanation:

Starting from the fundamental equation

we can deduce

So, in our case,

Actually, we have

In fact, since

An acute angle lies in the first quadrant, where both sine and cosine are positive, hence the choice of the sign.

Now that we know both sine and cosine, we can compute the cotangent by its definition: