Question

Which statement does not describe the sine function?

Answer 1

Answer:

Step-by-step explanation:

A is correct.  csc x = 1/ sin x

B is correct. y = sin x is a continuous funtion, for all real numbers, x

C is correct. The function y = sin x is a periodic function, and the cycle repeats every 2 radians (or 360°).

D is incorrect. It doesn't actually say anything false, but it does not accurately describe the behavior of the sine function. Look at the graphic I have attached. If you start at the origin, you see y = 0, then increases to 1 when x = π/2, then decreases back to zero when x = π, then decreases even more to -1 when x = 3π/2, then increases back up to zero when x = 2π.

Answer D leaves out the underlined part.

Hope this helps.

Answer 2

I would say A. It’s reciprocal function is cosecant.