Choice #1: describe each of the following properties of the graph of the cosine function, f(theta) = cos(theta), and relate the property to the unit circle definition of cosine. amplitude period domain range x-intercepts

Amplitude = 1:
The Amplitude is the maximum distance from 0 the function can be. In the case of  that maximum distance is 1, because the unit circle has a radius of 1 and is centered at the origin, so the x value of a point on the circle can't be greater than 1.

Period = 
The period is the distance required for the function to complete one cycle. It takes  radians to make a full round of the unit circle, and after that  repeats, so it is the period.

Domain = 
When the function is given an angle it radians, it goes that distance around the unit circle, and then gives the x value of the point on the circle at that distance. There is no that would cause this function to be undefined, so it's domains is .

Range = 
The unit circle has a radius of 1 and is located at the origin so the x value of any point on the unit circle has to be between -1 and 1.

X-Intercepts: 
X-intercepts occur where a function evaluates to 0. For  this occurs at odd multiples of , as these are locations on the unit circle where the x value of the corresponding point on the circle is 0.

Thats where they was ported and the fields that noone really knew much about needed tended, so they put slaves out there do free work and huge profits and so on the north decided to hold its own and was more different way of survival did not have same climate conditions to afford protecting slaves from winter so expenses be diff from south