1. Graphing Trigonometric Functions

2. The Sine Function Angle Sine Angle Sine90
180
270
360
Angle
Sine 90 1
180
270 -1
360
Angle
Sine 90
180
270
360

3. Angle
Sine
180 30
0.5
210
– 0.5 45
0.707
225
– 0.707 60
0.866
240
– 0.866 90 1
270 –1
120
300
135
315
150
330
– 0.5 90
180
270
360 90
360
270
180
y = sin x

4. Angle Cosine The Cosine Function1
180 –1 30
0.866
210
– 0.866 45
0.707
225
– 0.707 60
0.5
240
– 0.5 90
270
120
300
135
315
150
330
The Cosine Function 90
360
270
180 90
360
270
180
y = cos x

5. {y| -1 y 1} {all real numbers} Range Domain 1 360°90
360
270
180 1 -1
y = sin x
{y| -1 y 1}
{all real numbers}
Period
Amplitude
Range
Domain 1
360°

6. {y| -1 y 1} {all real numbers} Domain Range 1 360°90
360
270
180 1
y = cos x -1
{y| -1 y 1}
{all real numbers}
Domain
Range
Period
Amplitude 1
360°

7. For the graph of
Amplitude =
Period =

8. To Graph a Trigonometric function don’t make a table
Just depend on its parent function and the transformations, so far; amplitude and period

9. y = 2sin x y = sin x y = sin x Amplitude = 2 period = 360° 2 90 360
270
180 -1 1 90
360
270
180 -1 1
y = sin x
period = 360° -2

10. y = cos x y = 3 cos x y = 3cos 2x Amplitude = 3 period = 180° 3 3 90
270
180
360 1 -1 90
270
180
360 1 -1 90
270
180
360 1 -1 -3 -3
period = 180°

11. The Tangent Function Asymptotes Amplitude undefined period = 180° 90
270
360
period = 180°