1. Graphing Trigonometry Functions
Basic Graphs
y = sin x 1 -1
-π/2
π/2 π
3π/2 2π
Period is and amplitude is 1.

2. Graphing Trigonometry Functions
Basic Graphs
-π/2
π/2 π
3π/2 2π
y = cos x 1 -1
Period is and amplitude is 1.

3. Special Angles and Graphs
Using the graph for

4. Graphing Trig Functions
Amplitude Change
y= a sin x stretches or compresses the graph vertically
y = a sin x a -a
-π/2
π/2 π
3π/2 2π
Period is and amplitude is a.

5. Graphing Trig Functions
Phase Shift
y = sin(x - b) slides graph right by b units b -1 1
2π+b
y = sin(x - b)
Period is and amplitude is 1.

6. Graphing Trig Functions
Phase Shift
y = sin(x + b) slides graph left by b units 1 -b
2π - b
y = sin(x + b) -1
Period is and amplitude is 1.

7. Graphing Trig Functions
Period Change
y = sin cx stretches or compresses the graph horizontally -1 1
2π/c
Period is and amplitude is 1.