Sec. 14-2
Graphs of Other Trig Functions
The ___________function is _____________ when ___________________, where n
is an integer.
The ______________ function is undefined when ___________.
These values are excluded from the __________ and are represented by vertical
_______________ on the graph.
__________and __________functions have _________________or
_______________ values, therefore __________ is __________.
Characteristics of the Graphs of Tangent and Cotangent
Function
Graph
Domain
Range
Period
Amplitude
y = tanx
Function
Graph
Domain
Range
Period
Amplitude
y = cotx
Like sine and cosine, you can ________________ the tangent function.
For the graph of y = a tan bx, where a = 0 and x is in radians,
The period is _______________
The asymptotes are located at ________________
Ex. 1 Transforming Tangent Functions
Using f(x) = tan x as a guide, graph g(x) = tan2x. Identify the period, x-intercepts and
asymptotes.
Transformations of Cotangent Graphs
For the graph of y = a cot bx, where a = 0 and x is in radians,
The period is ________________
The asymptotes are located at __________________
Ex. 2 Graphing the Cotangent Function
Using f(x) = cotx as a guide, graph g(x) = cot 0.5x. Identify the period, x-intercepts,
and asymptotes.
Recall that ____________________. So, secant is __________where __________
equals __________ and the graph will have __________asymptotes at those
locations.
__________will also have the same __________ as __________.
__________and __________ have a similar relationship.
Because secant and cosecant have ___absolute __________ or __________,
amplitude is __________.
Characteristics of the Graphs of Secant and Cosecant
Function
Graph
Domain
Range
Period
Amplitude
y = secx
Function
y = cscx
Graph
Domain
Range
Period
Amplitude
Ex. 3 Graphing Secant and Cosecant Functions
Using f(x) = cos x as a guide, graph g(x) = sec2x. Identify the period and asymptotes.