Based on the table above, which of the following statements about the sine function could be true? (Select all that apply.)
A. The equation $\sin(\theta) = \sin(-\theta)$ is true for all angles $\theta$.
B. The equation $\sin(\theta) = -\sin(-\theta)$ is true for all angles $\theta$.
C. Sine is an odd function.
D. Sine is an even function.
E. None of the above statements are true.

Using the definitions of reciprocal functions and your work in the above problems, which of the following statements about the cosecant function could be true? (Select all that apply.)
A. The equation $\csc(\theta) = \csc(-\theta)$ is true for all angles $\theta$.
B. The equation $\csc(\theta) = -\csc(-\theta)$ is true for all angles $\theta$.
C. Cosecant is an odd function.
D. Cosecant is an even function.
E. None of the above statements are true.

Hint: