Question

The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​

Answer 1

Answer C:

Cannot be true because
`csc(\theta)` is greater than zero in quadrant 2.

Explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

`csc(\theta)=(1)/(sin(\theta))`

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because
`csc(\theta)` is greater than zero in quadrant 2.