(4.6) Graphs of Other Trig Functions
Graph 2 periods:
Graph y = -3csc(2x)
Precalc 4.6 Graph Other Trig Functions
To graph y = cscx, recall that cscx is the opposite of sinx
a = 1, period = 2∏
graph of y = cscx
asymptotes are zeros of sin
graph
"u" shapes occur at max & min of
sin graph
a=1
graph represents 2 periods
graph y = sec(x)
graph y = 2sec(x-π)
graph y = -3sec(1/2x)
a = 1, period = 2∏
graph represents 2 periods
graph of y = secx
asymptotes are zeros of cos graph
"u" shapes occur at max & mins of cos
Summary:
To graph the cosecant or secant function:
1. sketch the reciprocal function with a dotted curve
2. sketch the vertical asymptotes with dotted lines
3. find the reciprocal values (and graph the U shapes) between the asymptotes
Homework:
Page 305 #14, 16, 18, 24, 26