Exercises for Chapter 3 Section 2.
 

Do NOT use your calculator for these exercises.
 

1. What might be the motivation for choosing the interval  as the domain of the Cosine function?
 

2. Give the domain and range of: (a) Arctan(x); (b) Arccos(x).
 

3. Find Arcsin(½) and four other real numbers x such that sin(x) = ½.
 

4. Find  and four other real numbers x such that 
 

5. Find: (a) Arcsin(1);         (b) Arctan(1);         (c) Arccos(½).
 

6. Find: (a)          (b)          (c) Arccos(-1).
 

7. (a) Graph both y = Cos(x) and y = Arccos(x) on the same axes.

(b) Are these graphs symmetric to each other with respect to some line?
 

8. Graph; (a) y = Arcsin(x);         (b) y = Arctan(x).