Question

If θ is an angle in standard position and its terminal side passes through the point (-9,-5), find the exact value of
cot
⁡
θ
cotθ in simplest radical form.

Answer 1

Answer:

Step-by-step explanation:9/5 is the answer

(-5)^2 + (-9)^2 =c^2

25 + 81 = c^2

106= c^2

Sqr rt 106 = c

Answer 2

By using trigonometric relations, we will see that:

cot(θ) = 9/5.

How to get the cotangent?

We know that if an angle's terminal side passes through the point (x, y), then we can write the tangent as:

tan(θ) = y/x

In this case, we know that the terminal side passes through (-9, -5), then the tangent is:

tan(θ) = -5/-9 = 5/9

And the cotangent is the inverse of the tangent, then:

cot(θ) = 1/tan(θ) = 9/5.

If you want to learn more about trigonometric relations, you can read:

https://brainly.com/question/8120556