4.6 graphs of secant and
cosecant
so cosecant is undefined
csc x= 1
sinx
when sinx = 0. This means
the graph has asymptotes
whenever sinx = 0. This
means if graph is shifted
vertically, asymptotes will
occur when the graph
intersects the center line.
Note: Equation for asymptotes
period
x = n + x value of any asymptote
2
n = any integer
Graph y = csc x
Start with the
graph of y = sinx
Draw asymptotes when sinx = 0.
Domain:
Asymptotes:
Range:
Period:
1
sec x = cosx
Graph y = sec x
Draw asymptotes when cosx = 0.
Domain:
Asymptotes:
Range:
Period:
Graph y = 3csc (x + π3 )
Domain:
Asymptotes:
Range:
Period:
Graph y = - ½sec(πx - π4 ) + 3
Domain:
Asymptotes:
Range:
Period:
Pg. 582 30 - 44 even
Intro to Tan/Cot
Quiz tomorrow Graphing Sin/Cos