Answer:
all of it
1to12 I love it it is amazing
Answer:
The solutions are 0° and 3π
Step-by-step explanation:
On solving the equation given;
![sin(\frac{3\pi}{2}+x )+ sin(\frac{3\pi}{2}+x ) = -2\\2sin(\frac{3\pi}{2}+x ) = -2\\sin(\frac{3\pi}{2}+x ) = -1\\\frac{3\pi}{2}+x = sin^{-1}-1\\ \frac{3\pi}{2}+x = -\frac{\pi}{2} \\x = -\frac{\pi}{2} -\frac{3\pi}{2} \\x = \frac{-4\pi}{2} \\x = -2\pi\\](https://tex.z-dn.net/?f=sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%2B%20sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-2%5C%5C2sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-2%5C%5Csin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-1%5C%5C%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%20%3D%20sin%5E%7B-1%7D-1%5C%5C%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20%20%5Cfrac%7B-4%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20-2%5Cpi%5C%5C)
<u>Since sin is negative in the 3rd and 4th quadrant, </u>
In the 3rd quadrant;
x =180°+2π
x = π + 2π
x = 3π
In the 4th quadrant;
x = 360°-2π
x = 2π-2π
x = 0°
Given:
Two points are A(6,1) and B(9,4).
To find:
The equation of the line that passes through the given points.
Solution:
If a line passes through two points
and
, then the equation of the line is:
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:
![y-1=\dfrac{4-1}{9-6}(x-6)](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B4-1%7D%7B9-6%7D%28x-6%29)
![y-1=\dfrac{3}{3}(x-6)](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B3%7D%7B3%7D%28x-6%29)
![y-1=1(x-6)](https://tex.z-dn.net/?f=y-1%3D1%28x-6%29)
![y-1=x-6](https://tex.z-dn.net/?f=y-1%3Dx-6)
Adding 1 on both sides, we get
![y-1+1=x-6+1](https://tex.z-dn.net/?f=y-1%2B1%3Dx-6%2B1)
![y=x-5](https://tex.z-dn.net/?f=y%3Dx-5)
Therefore, the equation of the line is
.
Answer:
120 inches
Step-by-step explanation: