Transcript Ch 6.7 - Graphing Other Trig Functions

Ch 6.7 – Graphing Other
Trig Functions
y = cscx
 Period: 2π
 Domain: All real numbers except πn,
n is an integer
 Range: All real numbers greater than or equal to
1 and less than or equal to -1
Asymptotes: x = πn, n is an integer
 y = 1: when sinx is a maximum
 y = -1: when sinx is a minimum
y = secx
 Period: 2π
 Domain: All real numbers except
(π/2)n, n is an odd integer
 Range: All real numbers greater than or equal to
1 and less than or equal to -1
Asymptotes: x = (π/2)n, n is an odd integer
 y = 1: when cosx is a maximum
 y = -1: when cosx is a minimum
Let’s Graph y = sec(2θ + π) – 3
y = tanx
 Period: π
 Domain: All real numbers except
(π/2)n, n is an odd integer
 Range: All real numbers
X-Intercepts: πn, n is an integer
Asymptotes: x = (π/2)n, n is an odd integer
y = tanx
y = cotx
 Period: π
 Domain: All real numbers except πn,
n is an integer
 Range: All real numbers
X-Intercepts: (π/2)n, n is an odd integer
Asymptotes: x = πn, n is an integer
y = cotx
Write the equation for the given
function.
1. Tangent, period = 5π, phase shift = -π,
vertical shift = 3
2. Secant, period = π/2, phase shift = π/8,
vertical shift = -5