Make up your own examples to clearly demonstrate your understanding of each of the following concepts. Make certain to provide full solutions and supporting work or explanations for your examples. 1. How to convert an angle in degree to radians.
2. How to convert an angle in radians to degrees.
3. How to find the arc length cut off by an angle whose terminal side lies in Quadrant III on a circle of radius larger than 1 where the angle is initially given in degrees.
4. How to find the exact value of the sine and the cosine of any angle (you pick ONE) in Quadrant II, III, or IV that has a reference angle of , or . Include a sketch and clearly indicate your angle. You may assume you know the points on the unit circle at angles of , or .