1. Suppose a tire of radius 0.5 meters is spinning at the rate of 2 radians per second. Imagine a line drawn through the center of the tire (using chalk) that is initially parallel with the ground. Sketch a graph showing the height of the end of that line as ...

1. Without a calculator, consider what happens to the function f(x) = cos(x) when the underlying unit circle has a radius of 4. Express a new function that gives the x-coordinate of points on the circle at given radii x, and sketch the function neatly showing the value at standard ...

1. The following are lengths of sides of right triangles. Find the length of the missing side:
   1. 1, x, 2
   2. 1, 1, x

2. If a wheel of radius 10 centimeters turns through 10.7 revolutions, how far does the wheel travel, and by what angle (in radians) does it turn?