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.

step-by-step explanation:

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation: