Graphing
Basic Trigonometric Functions
Graph
of

Period:
Domain: All real numbers
Range: 
Symmetric
with respect to the origin
Graph
of 

Period:
Domain: All real numbers
Range: 
Symmetric
with respect to the y axis
Graph
of 

Period: 
Domain: All real numbers except
,
an integer
Range: All real numbers
Symmetric with respect to the origin
Increasing function between consecutive asymptotes
Discontinuous at
,
an integer
See
Example 1, page 470, of the textbook.
Graph
of 

Period: 
Domain: All real numbers except
,
an integer
Range: All real numbers
Symmetric with respect to the origin
Decreasing function between consecutive asymptotes
Discontinuous at
,
an integer
Graph
of 

Period: 
Domain: All real numbers except
,
an integer
Range: All real numbers
such that
or

Symmetric with respect to the y axis
Discontinuous at Discontinuous at
,
an integer
Graph
of 

Period: 
Domain: All real numbers except
,
an integer
Range: All real numbers
such that
or 
Symmetric with respect to the origin
Discontinuous at Discontinuous at
,
an integer
See
Example 2, page 474, of the textbook.
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next Graphing
General Sine and Cosine Functions