January 28, 2011
Graph of y = sin x
Domain:
Period: 2π
Range:
Symmetry: Odd function
1
January 28, 2011
Graph of y = cos x
Domain:
Period: 2π
Range:
Symmetry: Even function
2
January 28, 2011
A function is a sinusoid if it can be written in the form
f (x) = a sin (bx + c) + d
where a, b, c, and d are constants and neither a nor b is 0.
is the domain of the sinusoid.
is the range of the sinusoid.
is the amplitude of the sinusoid.
is the period of the sinusoid.
is the phase shift of the sinusoid.
3
January 28, 2011
Graph of y = tan x
Domain:
Period: π
Range:
Symmetry: Odd function
The tangent function is increasing on each interval of its domain.
4
January 28, 2011
Graph of y = cot x
Domain:
Period: π
Range:
Symmetry: Odd function
The cotangent function is decreasing on each interval of its domain.
5
January 28, 2011
Graph of y = sec x
Domain:
Period: 2π
Range:
Symmetry: Even function
6
January 28, 2011
Graph of y = csc x
Domain:
Period: 2π
Range:
Symmetry: Odd function
7
January 28, 2011
The Inverse Sine Function
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8
January 28, 2011
The Inverse Cosine Function
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9
January 28, 2011
The Inverse Tangent Function
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