Report

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