Answer:
The reference angle is ![\frac{\pi}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B3%7D)
Step-by-step explanation:
The given angle is
The reference angle is the acute angle, that a given angle makes with the x-axis.
First let us make a sketch of the given angle. <em>See diagram in attachment.</em>
Let
be the reference angle of ![t=-\frac{5\pi}{3}](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7B5%5Cpi%7D%7B3%7D)
Then, from the diagram, we need to subtract
from
to get to
.
We can therefore write the following equation and solve for
.
![\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi](https://tex.z-dn.net/?f=%5CRightarrow%20-%5Cfrac%7B5%5Cpi%7D%7B3%7D-%5Ctheta%3D-2%5Cpi)
We group like terms to get,
![\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20-%5Ctheta%3D-2%5Cpi%20%2B%5Cfrac%7B5%5Cpi%7D%7B3%7D)
We collect LCM to get,
![\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20-%5Ctheta%3D%5Cfrac%7B-6%5Cpi%2B5%5Cpi%7D%7B3%7D)
We simplify to get,
![\Rightarrow -\theta=-\frac{\pi}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20-%5Ctheta%3D-%5Cfrac%7B%5Cpi%7D%7B3%7D)
We divide through by ![-1](https://tex.z-dn.net/?f=-1)
to get,
The correct answer is D.
Answer:
3.B
4.A
Step-by-step explanation:
Maybe because the diameter of the circle should equal each side length of te equilateral triangle
Answer:
M= -3
B=6
Step-by-step explanation:
6-0=6
0-2=-2
=3
Answer:
C
Step-by-step explanation:
242-130