1. Graphing Other Trig Functions
Lesson 2.6

2. Ordered Pairs Consider the ordered pairs in the table at the rightx
tan(x)
-3.142
0.000
-2.618
0.577
-2.094
1.732
-1.571
-1.047
-1.732
-0.524
-0.577
0.524
1.047
1.571
2.094
2.618
3.142
3.665
4.189
4.712
5.236
5.760
6.283
Consider the ordered pairs in the table at the right
Note
Period = π
Maximum y values
Minimum y values ?

3. Plotting the Ordered Pairs
Period = π
No max or min, no amplitude – goes to infinity

4. Try with web graphing utility
Analyzing y = a tan(b x)
The leading coefficient does not affect the amplitude
There is no amplitude
Rather it affects how much the curve flattens out
Try with web graphing utility

5. Analyzing y = a tan(b x)
The value of b affects the period

6. cotangent(x) The shape of the graph is the same
The curve tilts the other way

7. cosecant(x)
The reciprocal of sin(x)
csc(x)
sin(x)

8. secant(x) Reciprocal of cos(x) Note for y = a sec (b x)
The a affects how low/high the dip occurs
The b affects the period
As with sin and cos, period = 2π/b

9. View nSpire version of Rocket Launch Problem
Assignment
Lesson 2.6
Page 189
Exercises 1 – 53 EOO
View nSpire version of Rocket Launch Problem