Ch 6.7

1
Ch 6.7 Graphing Other Trig Functions
2
y cscx

• Period
• Domain
• Range
• Asymptotes
• y 1
• y -1

2p
All real numbers except pn, n is an integer
All real numbers greater than or equal to 1 and
less than or equal to -1
x pn, 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

2p
All real numbers except (p/2)n, n is an odd
integer
All real numbers greater than or equal to 1 and
less than or equal to -1
x (p/2)n, n is an odd integer
when cosx is a maximum
when cosx is a minimum
4
Lets Graph y sec(2? p) 3








5
y tanx

• Period
• Domain
• Range
• X-Intercepts
• Asymptotes

p
All real numbers except (p/2)n, n is an odd
integer
All real numbers
pn, n is an integer
x (p/2)n, n is an odd integer
6
y tanx
7
y cotx

• Period
• Domain
• Range
• X-Intercepts
• Asymptotes

p
All real numbers except pn, n is an integer
All real numbers
(p/2)n, n is an odd integer
x pn, n is an integer
8
y cotx
9
Write the equation for the given function.

1. Tangent, period 5p, phase shift -p, vertical
   shift 3
2. Secant, period p/2, phase shift p/8, vertical
   shift -5