Section 1.9
Distance and Midpoint Formulas;
Circles
The Distance Formula
y
Find the Distance between (-4,2) and (3,-7)
x 2 x1
2
y2 y1
3 4 7 2
2
2
2
49 81
130 11.4
Example
Find the distance between (4,-5) and (9,-2).
The Midpoint Formula
Find the mid
Section 4.5
Graphs of Sine and Cosine
Functions
The Graph of y=sin x
Continuation of the previous problem showing 3 cycles
Graphing Variations of y=sin x
Graphing y=2 Sin x
Graphing y= Sin x
Graphing y=-2 Sin x
Graphing y=3 Sin 2x
The Effect of Horizontal
Section 4.1
Angles and Their Measure
Angles
A ray is a part of a line that has only one endpoint
and extends forever in the opposite direction. An angle
is formed by two rays that have a common endpoint. One
ray is called the initial side and the other th
Section 8.4
Multiplicative Inverses of Matices
and Matrix Equations
The Multiplicative Identity
Matrix
1 0
The Multiplicative Identity matrix is I=
for 2 2 matrices.
0 1
That means that AI=A and IA=A
The Multiplicative Inverse
of a Matrix
If a square ma