Question

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

Answer 1

Answer:

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:

$\cos(-\theta)=\cos(\theta)$

$\sin(-\theta)=-\sin(\theta)$

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:

$f(-x)=-f(x)$

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

$f(-x)=f(x)$

Last, the period of sine, or the distance on the x-axis it takes to complete one full wavelength, and the answer is $2\pi$. If you look at a graph of the sine function, you will find that the wave repeats itself at the $2\pi$ mark and it does this with cosine as well.