00:01
So we're given this circle with a radius 2 .7 centimeters and an angle of 2 .1 radians centered at the vertex with the terminal point right here.
00:18
And we're asked what is the terminal point's distance to the right of the center of the circle measured in radius lengths.
00:28
So for part a one unit will be one radius length.
00:37
So that means that we have a comparable circle with a radius of one unit because one unit is one radius length.
00:53
And then we still have this same angle.
00:59
We still have the same terminal point but our scale is now changed to where the unit is one radius length.
01:08
And we're asked what is the distance to the right of the center.
01:14
Well the right of or when we're looking at the horizontal distance to the center we're looking at the cosine of our angle theta.
01:23
So if we call theta the angle of 2 .1 radians then here the horizontal distance is equal to one which is our units of distance here.
01:46
One unit times cosine of 2 .1 radians which is equal to negative 0 .505 in length.
02:02
So this is your answer for part a.
02:06
The terminal point is 0 .505 radius lengths away from center...