1. Ch 6.7 – Graphing Other Trig Functions

2. y = cscx Period: Domain: Range: Asymptotes: y = 1: y = -1: 2π
All real numbers except πn, n is an integer
All real numbers greater than or equal to 1 and less than or equal to -1
x = πn, n is an integer
when sinx is a maximum
when sinx is a minimum

3. y = secx Period: Domain: Range: Asymptotes: y = 1: y = -1: 2π
All real numbers except (π/2)n, n is an odd integer
All real numbers greater than or equal to 1 and less than or equal to -1
x = (π/2)n, n is an odd integer
when cosx is a maximum
when cosx is a minimum

4. Let’s Graph y = sec(2θ + π) – 3

5. y = tanx Period: Domain: Range: X-Intercepts: Asymptotes: π
All real numbers except (π/2)n, n is an odd integer
All real numbers
πn, n is an integer
x = (π/2)n, n is an odd integer

6. y = tanx

7. y = cotx Period: Domain: Range: X-Intercepts: Asymptotes: π
All real numbers except πn, n is an integer
All real numbers
(π/2)n, n is an odd integer
x = πn, n is an integer

8. y = cotx

9. Write the equation for the given function.
Tangent, period = 5π, phase shift = -π, vertical shift = 3
Secant, period = π/2, phase shift = π/8, vertical shift = -5