Question 11
You may use the unit circle shown below to help you answer this question.

The circle centered at the origin has a line joining the origin and the point (x, y) on the second quadrant at the circumference of the circle is the hypotenuse is 1, the line and the negative x axis forms the base of the right triangle. The line and the positive x axis make an angle theta.

Which of these are true statements about the sine function? Choose all that are correct.

A
For any value of θ
, sin(−θ)=sin(θ)
.

B
For any value of θ
, sin(−θ)=−sin(θ)
.

C
The sine function is an odd function.

D
The sine function is an even function.

E
The sine function has a period of π
.

F
The sine function has a period of 2π
.