Question

The statement "cot = , sec = , and the terminal point determined by is in quadrant 2": A. cannot be true because cot is less than zero in quadrant 2. B. cannot be true because . C. cannot be true because cot must be less than 1. D. cannot be true because if cot = , then sec = .

Answer 1

A. cannot be true because cot is less than zero in quadrant

Answer 2

Answser: option A. cannot be true because cot is less than zero in quadrant 2

Step-by-step explanation:

I will complete the statement since it is incomplete.

The complete statement is: The statement "cot θ = 12/5 , sec θ = - 13/5 , and the terminal point determined by is in quadrant 2".

Then you start by stating the signs of the trigonometric functions in the second quadrant:

Sine: positive

Cosine: netative

Tangent: negative.

With that you can state that, being cot = 1 / tan, then cotangent is also negative in quadrant 2.

Therefore, cotangent cannot be positive in the quadrant 2, and the answer is the first option: "A. cannot be true because cot is less than zero in quadrant 2".