Sketch the graph of ysec on the interval 210 Identify the pe

Sketch the graph of y-sec(-) on the interval [-2,10]. Identify the period of the function 5 and label all those points with a y-coordinate of 1 or -1. Also, write the equations of any vertical asymptotes of the graph that are in this interval. Period-8R Equations of vertical asymptotes: 21 2 (0 411 6

Solution

y = sec ( 1/4 x)

sec (1/4x) = 1 / cos (1/4 x )

setting denomintaor to 0

cos (1/4 x ) = 0

x = 2pi + 8npi , 6pi + 8 npi

all vertical asymtotes on the interval [ -2pi , 10 pi ]

x = -2pi , x = 2pi , x = 6pi , x = 10pi