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if cos theta < 0 and cot theta > 0, then the terminal point determined by theta is in:

A. Quadrant 1
B. Quadrant 3
C. Quadrant 4
D. Quadrant 2

please help me ! ​

Respuesta :

Answer:

If cosine theta < 0 and cotangent theta > 0, then the terminal point determined by theta is in: quadrant 3.

Step-by-step explanation:

hope this helps you :) my answer is the Step-by-step explanation: and the answer :)

Considering the signals of the sine and the cosine of the trigonometric function, it is found that it's quadrant is given by:

B. Quadrant 3

What are the signals of the sine and the cosine in each quadrant?

  • Q1: cos > 0, sin > 0.
  • Q2: cos < 0, sin > 0.
  • Q3: cos < 0, sin <0.
  • Q4: cos > 0, sin < 0.

In this problem, we have that the cosine is negative, and the cotangent is positive. Cotangent is cosine divided by sine, hence if it is positive, both cosine and sine have the same signal, since cos < 0, sine is negative, they are in third quadrant and option B is correct.

More can be learned about the quadrants of trigonometric functions at https://brainly.com/question/24551149

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