The ordered pair of a unit circle is represented as:
![(x,y) \to (\sin(\theta),\cos(\theta))](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28%5Csin%28%5Ctheta%29%2C%5Ccos%28%5Ctheta%29%29)
The point where the terminal side of ![\tehta](https://tex.z-dn.net/?f=%5Ctehta)
intersect with the unit circle is: 240
The given parameter can be represented as:
![(x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-%5Cfrac%7B%5Csqrt%203%7D%7B2%7D%2C-%5Cfrac%7B1%7D%7B2%7D%29)
This means that:
![\sin(\theta) = -\frac{\sqrt 3}{2}](https://tex.z-dn.net/?f=%5Csin%28%5Ctheta%29%20%3D%20-%5Cfrac%7B%5Csqrt%203%7D%7B2%7D)
![\cos(\theta) = -\frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
Let the angle between the x-axis and the terminal side be ![\alpha](https://tex.z-dn.net/?f=%5Calpha)
So, we have:
![\theta = 180 + \alpha](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20180%20%2B%20%5Calpha)
Using ![\cos(\theta) = -\frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The equation becomes
![\cos(180 + \alpha) = -\frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%28180%20%2B%20%5Calpha%29%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
Apply cosine formula
![\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%28180%29%2A%5Ccos%28%5Calpha%29%20-%20%5Csin%28180%29%2A%5Csin%28%5Calpha%29%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
![-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}](https://tex.z-dn.net/?f=-1%2A%5Ccos%28%5Calpha%29%20-%200%2A%5Csin%28%5Calpha%29%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
![-1*\cos(\alpha)= -\frac{1}{2}](https://tex.z-dn.net/?f=-1%2A%5Ccos%28%5Calpha%29%3D%20-%5Cfrac%7B1%7D%7B2%7D)
Divide both sides by -1
![\cos(\alpha)= \frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Calpha%29%3D%20%5Cfrac%7B1%7D%7B2%7D)
Take arccos of both sides
![\alpha= \cos^{-1}(\frac{1}{2})](https://tex.z-dn.net/?f=%5Calpha%3D%20%5Ccos%5E%7B-1%7D%28%5Cfrac%7B1%7D%7B2%7D%29)
![\alpha= \cos^{-1}(0.5)](https://tex.z-dn.net/?f=%5Calpha%3D%20%5Ccos%5E%7B-1%7D%280.5%29)
![\alpha= 60](https://tex.z-dn.net/?f=%5Calpha%3D%2060)
Recall that:
![\theta = 180 + \alpha](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20180%20%2B%20%5Calpha)
![\theta = 180 +60](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20180%20%2B60)
![\theta = 240](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20240)
Read more at:
brainly.com/question/11907132
Answer:
the answer is 7 ( y + 3) hope this helped
Answer:
Step-by-step explanation:
arranging in ascending order
1,2,2,3,5
mean= (1+2+2+3+5)/5=13/5=2.6
median=2
mode=2
Answer:
1/3 is the correct answer...
Hope it helps!!!!