4.5 Graphing Other Trigonometric Functions
Recall that tan(𝑥) =
A fraction equals zero when its ___________________________ equals zero.
A fraction is undefined when its ___________________________ equals zero.
So, 𝑦 = tan(𝑥) = 0 when ____________________________________ and
𝑦 = tan(𝑥) is undefined when __________________________________.
Domain:
Range:
x-int./y-int.:
Continuity:
Symmetry:
Asymptotes:
Extrema:
(max./min.)
End Behavior:
Ex. 1
Graph 𝑦 = tan(2𝑥).
Ex. 2
a) Where would 𝑦 = csc(𝑥) have a vertical asymptote?
b) Where would 𝑦 = csc(𝑥) have an x-intercept?
c) Where would 𝑦 = sec(𝑥) have a vertical asymptote?
d) Where would 𝑦 = sec(𝑥) have an x-intercept?
𝑦 = csc(𝑥)
𝑦 = sec(𝑥)