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. Calculators are NOT permitted on this quiz.

Write down the values of the sine and the cosine functions when the following angles are input:

($0, \frac{\pi}{4}, \frac{\pi}{2}, \frac{3\pi}{4}, \pi, \frac{5\pi}{4}, \frac{3\pi}{2}, \frac{7\pi}{4}$),

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?