Question

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

A. cannot be true because tan theta must be less than 1.
B. cannot be true because tan theta is greater than zero in quadrant 3.
C. cannot be true because if tan theta = -12/5 , then csc theta = +/- 13/12
D. cannot be true because 12^2 + 5^2 ≠ 1

Answer 1

Apex

B. cannot be true because tab theta is greater than zero in quadrant 3.

is the answer, I just took the quiz and got it right.

Answer 2

B and C are both applicable in this case.

Explanation:

The terminal point determined by theta can not be in quadrant 3 since tan theta is greater than zero in this quadrant. In addition, if tan theta =-12/5 then csc theta = ±13/12 since the terminal point determined by theta can be in quadrant 2 where sine theta and consequently csc theta would be positive or in quadrant 4 where csc theta would be negative.