Question

Find the value of cot(θ) for an angle θ in standard position with a terminal Ray that passes through the point (-9,-5).

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Answer 1

b.

Explanation:

cot(theta) = adjacent/opposite

= 9/5

Since it's quadrant 3, cot is positive

Answer 2

B

Explanation:

Let's draw this (see diagram).

We know this is in the third Quadrant, and we also know the opposite and adjacent side lengths of the right triangle: opposite is -5 and adjacent is -9.

We want to find cotangent, which is adjacent / opposite. So, we have:

cot(θ) = -9/-5 = 9/5.

The answer is B.