MATH 7030 Extra Assignment 2 : Solve the following problems. In this set, you do not have to reflect on the problems from a bigger perspective since I think that is already part of each problem.

(1) Solve problem 6c on page 546 (after doing parts a and b, which don't need to be handed in).

(2) Solve problem 19 c, d on page 576 (after doing parts a and b, which don't need to be handed in).

(3) As you know, we measure angles either in degrees or in radians. The radian measure of an angle is the length of an arc along a circle that has radius 1 unit. Instead of using the length of an arc on a circle, it might seem easier and more natural to use the length of a straight line segment, perhaps such as one of the two line segments shown in the attached figures. Although these proposed ways of describing angle size might seem more appealing in some ways, there are some major disadvantages to them. One disadvantage has to do with combining angles. Discuss this disadvantage and relate it also to a phenomenon that we discussed concerning trigonometric functions. Discuss any other disadvantages you find. (Feel free to contact me for help with this problem.)