The tangent function is the ratio of the sine function to the cosine function.
This can also be written as:
![tan(x)= \frac{sin(x)}{cos(x)}](https://tex.z-dn.net/?f=tan%28x%29%3D%20%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%20)
Consider the location of
![90](https://tex.z-dn.net/?f=90)
˚ on the unit circle: it is at the point
![(0,1)](https://tex.z-dn.net/?f=%280%2C1%29)
.
This means that
![sin(90](https://tex.z-dn.net/?f=sin%2890)
˚
![)=1](https://tex.z-dn.net/?f=%29%3D1)
and
![cos(90](https://tex.z-dn.net/?f=cos%2890)
˚
![)=0](https://tex.z-dn.net/?f=%29%3D0)
.
According to the relationship of sine and cosine to tangent that we defined earlier, we see that
![tan(90](https://tex.z-dn.net/?f=tan%2890)
˚
![)=\frac{1}{0}](https://tex.z-dn.net/?f=%29%3D%5Cfrac%7B1%7D%7B0%7D)
.
However, it is impossible to divide by
![0](https://tex.z-dn.net/?f=0)
. Thus, the tangent of
![90](https://tex.z-dn.net/?f=90)
˚ is
undefined.
Another way to think of tangent is as the slope of the line at the point on the unit circle. Since
![90](https://tex.z-dn.net/?f=90)
˚ is straight up, we know that the slope of a vertical line is undefined.
<h2>p=7</h2>
Step-by-step explanation:
![5p = 35](https://tex.z-dn.net/?f=5p%20%3D%2035)
Divide both sides of the equation by 5
![\frac{5p}{5} = \frac{35}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5p%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B35%7D%7B5%7D%20)
Simplify
![5p \div 5 = p \\ 35 \div 5 = 7 \\ p = 7](https://tex.z-dn.net/?f=5p%20%5Cdiv%205%20%3D%20p%20%5C%5C%2035%20%5Cdiv%205%20%3D%207%20%5C%5C%20p%20%3D%207)
I think the answer is C since there is a 25% chance it will land on a 2 and then another 25% if it would land on a 4. So 25% times 25% is acually 0.25 times 0.25. This would result in 0.0625 and the closest answer there is is C
Its B cause the total amount needs to be 44.18 and the change 0.69x needs to be positive