You may use the unit circle shown below to help you answer this question. Which of these are true statements about the sine function? Choose all that are correct.

A
For any value of θθ , sin(−θ)=sin(θ)sin(−θ)=sin(θ) .
B
For any value of θθ , sin(−θ)=−sin(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 ππ .
F
The sine function has a period of 2π2π .

B, C, F

Step-by-step explanation:

For the first part, this is the negative angle identity of the sine and cosine function. These identities are:

Then (I believe I am reading this right), B is true. I am unsure because of the repeated value in the middle. The next piece is that sine is odd. By definition, an odd function is one such that:

As we just demonstrated with the identities, sine obeys this and therefore is odd. Cosine, on the other hand, is even because it follows:

Last, the period of sine, or the distance on the x-axis it takes to complete one full wavelength, and the answer is . If you look at a graph of the sine function, you will find that the wave repeats itself at the mark and it does this with cosine as well.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)