Question

The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 3."

Answer 1

Answer:

The answer would be D. Cannot be true because tan theta is greater than zero in quadrant 3.

Answer 2

Answer:

Option D is correct.

The given statement cannot be true because tan theta is greater than zero in quadrant 3.

Step-by-step explanation:-

In quadrant 3rd ,

Cosine and Sine both are negative and tangent is positive.

As per the statement:-

The terminal point determined by theta is in quadrant 3.

Given:-

$\tan \theta =\frac{-12}{5}$

$\csc \theta = \frac{-13}{12}$

Since, $\theta$ is in quadrant 3,

⇒$\tan \theta$ cannot be negative.

Therefore, the given statement cannot be true because tan theta is greater than zero in quadrant 3.