Ch 6.7 – Graphing Other Trig Functions

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

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

Let’s Graph y = sec(2θ + π) – 3

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

y = tanx

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

y = cotx

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