Answer:
B. ![y=-sin\ x-2](https://tex.z-dn.net/?f=y%3D-sin%5C%20x-2)
Step-by-step explanation:
We all suck at math... just lmk if you need more help...
Answer:
![(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)](https://tex.z-dn.net/?f=%28C%29%5Cleft%28-%5Cdfrac%7B1%20%7D%7B2%7D%2C-%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29%24%20and%20%5Cleft%28%5Cdfrac%7B1%20%7D%7B2%7D%2C%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29)
Step-by-step explanation:
The reference angle is the angle that the given angle makes with the x-axis.
For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.
From the given options:
![(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)](https://tex.z-dn.net/?f=%28A%29%5Cleft%28-%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%2C-%5Cdfrac%7B1%20%7D%7B2%7D%5Cright%29%24%20and%20%5Cleft%28-%5Cdfrac%7B1%20%7D%7B2%7D%2C-%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29%5C%5C%5C%5C%28B%29%5Cleft%28%5Cdfrac%7B1%20%7D%7B2%7D%2C-%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29%24%20and%20%5Cleft%28-%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%2C%20%5Cdfrac%7B1%20%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%28C%29%5Cleft%28-%5Cdfrac%7B1%20%7D%7B2%7D%2C-%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29%24%20and%20%5Cleft%28%5Cdfrac%7B1%20%7D%7B2%7D%2C%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29%5C%5C%5C%5C%28D%29%5Cleft%28%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%2C%5Cdfrac%7B1%20%7D%7B2%7D%20%5Cright%29%24%20and%20%5Cleft%28%5Cdfrac%7B1%20%7D%7B2%7D%2C%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29)
We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.
This question doesnt make sense u need to attach a picture