The graph crosses the x axis 3 times so there are 3 roots.
B
Question:
The angle
is located in Quadrant III, and
.
What is the value of
?
Express your answer exactly.
________
Answer:
![cos(\theta_1) = - \frac{1}{2}](https://tex.z-dn.net/?f=%20cos%28%5Ctheta_1%29%20%3D%20-%20%5Cfrac%7B1%7D%7B2%7D%20)
Step-by-step explanation:
Given:
![sin(\theta_1) = - \sqrt{\frac{3}{2}}](https://tex.z-dn.net/?f=%20sin%28%5Ctheta_1%29%20%3D%20-%20%5Csqrt%7B%5Cfrac%7B3%7D%7B2%7D%7D%20)
Since the angle
is located in Quadrant III, we have:
![sin(\theta_1) = sin(\pi + \frac{\pi}{3})](https://tex.z-dn.net/?f=%20sin%28%5Ctheta_1%29%20%3D%20sin%28%5Cpi%20%2B%20%5Cfrac%7B%5Cpi%7D%7B3%7D%29%20)
![\theta_1 = \pi + \frac{\pi}{3}](https://tex.z-dn.net/?f=%20%5Ctheta_1%20%3D%20%5Cpi%20%2B%20%5Cfrac%7B%5Cpi%7D%7B3%7D)
![\theta_1 = \frac{4 \pi}{3}](https://tex.z-dn.net/?f=%20%5Ctheta_1%20%3D%20%5Cfrac%7B4%20%5Cpi%7D%7B3%7D)
Thus,
=
![cos(\theta_1) = cos(\pi + \frac{\pi}{3})](https://tex.z-dn.net/?f=%20cos%28%5Ctheta_1%29%20%3D%20cos%28%5Cpi%20%2B%20%5Cfrac%7B%5Cpi%7D%7B3%7D%29%20)
![cos(\theta_1) = -cos(\frac{\pi}{3})](https://tex.z-dn.net/?f=%20cos%28%5Ctheta_1%29%20%3D%20-cos%28%5Cfrac%7B%5Cpi%7D%7B3%7D%29%20)
![cos(\theta_1) = - \frac{1}{2}](https://tex.z-dn.net/?f=%20cos%28%5Ctheta_1%29%20%3D%20-%20%5Cfrac%7B1%7D%7B2%7D%20)
Answer:
2 tons and 1824 pounds
Step-by-step explanation:
Ton= 2,000 pounds
We know that 2,000 will go into 5824 twice, resulting in 4,000. Subtract 4,000 from 5,284, and you will have an answer of 1284. 1,284 does not go into a ton, therefore you have a remainder of 1,284 pounds.
They are equal
Pls make me the brainliest