Quote of the Day:
"Black holes are where God divided by zero." -- Steven Wright
Objectives:
The student will review the concepts of inverse functions, particularly
the inverse trig functions.
The student will review the graphs of the inverse trig functions.
1. Why do we always study inverse functions?
The inverse of any function is important - it provides
a way to "get back."
The derivatives of the inverse trig functions lead to
useful integration formulas.
2. How do you form the inverse of a function?
Example: y = 3x +2.
3. What is meant by arcsin(1)?
It is the angle (or arc) whose sine is equal to 1.
4. Graph the six inverse trig functions.
a. Start with y = sin(x) and its graph.
b. Solve for the inverse function.
c. Graph the inverse function and discuss its
domain and range.
d. Repeat for other functions.
5. Hand out graphs of the inverse trig functions.
6. Assignment:
p. 63 (35, 37, 38, 39, 41, 48)
Click here to go to the next page