Answer:
![cos\theta=1/3](https://tex.z-dn.net/?f=cos%5Ctheta%3D1%2F3)
Step-by-step explanation:
The point at the terminal side of an acute angle is given by
.
That is,
and
.
Let r be the length of line segment drawn from the origin to the point and is given by the formula:
![r = \sqrt{x^{2} + y^{2}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%20%2B%20y%5E%7B2%7D%7D)
Substituting the values of x and y into r,
![r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B1%5E%7B2%7D%20%2B%20%282%5Csqrt%7B2%7D%20%29%5E%7B2%7D%7D)
![r = \sqrt{1 + 8}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B1%20%2B%208%7D)
![r = \sqrt{9}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B9%7D)
Thus,
Also,
is given by:
![cos\theta = x/r\\](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20x%2Fr%5C%5C)
Substituting values of x and r,
![cos\theta = 1/3\\](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%201%2F3%5C%5C)
3pm we know this because 5^3= 125 so then we plug in numbers for the exponent in this case 6 which equals 15,625 now 9am plus 6 is 3pm
Answer:
![cos(33^{\circ})](https://tex.z-dn.net/?f=cos%2833%5E%7B%5Ccirc%7D%29)
Step-by-step explanation:
Given
![sin(57^{\circ})](https://tex.z-dn.net/?f=sin%2857%5E%7B%5Ccirc%7D%29)
Required
Determine an equivalent expression
In trigonometry:
![sin(\theta)= cos(90^{\circ} - \theta)](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%20cos%2890%5E%7B%5Ccirc%7D%20-%20%5Ctheta%29)
In ![sin(57^{\circ})](https://tex.z-dn.net/?f=sin%2857%5E%7B%5Ccirc%7D%29)
![\theta=57^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D57%5E%7B%5Ccirc%7D)
Substitute
for
in ![sin(\theta)= cos(90^{\circ} - \theta)](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%20cos%2890%5E%7B%5Ccirc%7D%20-%20%5Ctheta%29)
![sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})](https://tex.z-dn.net/?f=sin%2857%5E%7B%5Ccirc%7D%29%3D%20cos%2890%5E%7B%5Ccirc%7D%20-%2057%5E%7B%5Ccirc%7D%29)
![sin(57^{\circ})= cos(33^{\circ})](https://tex.z-dn.net/?f=sin%2857%5E%7B%5Ccirc%7D%29%3D%20cos%2833%5E%7B%5Ccirc%7D%29)
Hence, the equivalent expression is: ![cos(33^{\circ})](https://tex.z-dn.net/?f=cos%2833%5E%7B%5Ccirc%7D%29)
Answer:
Then value is 2
Step-by-step explanation:
standard of quadratic is A
+Bx+C=0
and 2 is where C is.
sorry for the bad explanation but, trust me I did this type of question in class yesterday
Answer:
7% percent off of $33.00 would be $30.69 cents
Hope helps