1. Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Section 7

2. Objectives Graph transformations of the tangent and cotangent functions Graph transformations of the cosecant and secant functions

3. Set your viewing window to the following settings: x min: 0 x max: 2π x scl: π/6 y min: -2 y max: 2 y scl: 1

4. Change your table to the following setting: Independent: 2. Ask

5. Amplitude: a Period: π/b Phase Shift: c Vertical Shift: d

6. Key Points xtan x 00 π/41 π/2UD 3π/4 π0 xcot x 0UD π/41 π/20 3π/4 πUD

7. y = 2 tan x

8. Page 196 #25

9. Page 196 #31

10. Amplitude: a Period: 2π/b Phase Shift: c Vertical Shift: d

11. Key Points xcsc x 0UD π/21 πUD 3π/2 2πUD xsec x 01 π/2UD π 3π/2UD 2π1

12. Page 196 #37

13. Page 196 (17-20, 22, 24, 28, 36)