Question

What is the correct definition for cot theta?

Answer 1

The correct definition for cot theta is (cos theta)/(sin theta). Cotangent (in a right-angled triangle) the ratio of the side (other than the hypotenuse) adjacent to a particular acute angle to the side opposite the angle. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

The correct answer is:

cot θ = (cos θ)/(sin θ).

Step-by-step explanation:

We know that the tangent ratio is opposite/adjacent (O/A).

The ratio for sine is opposite/hypotenuse (O/H), and the ratio for cosine is adjacent/hypotenuse (A/H).

If we divide these two,

`image`

This is the same as the ratio for tangent, so we know that

tan θ = (sin θ)/(cos θ).

Since cot θ = 1/(tan θ), we now have

`image`