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Inverse Cosine Function
Function
Domain
Range
y
= cos(
x
)
0
≤
x
≤ π
–1 ≤
y
≤ 1
y
= arccos(
x
)
–1 ≤
x
≤ 1
0
≤
y
≤ π
The restriction on the
domain
of the original function is necessary so that it satisfies the Horizontal Line Test. Observe that the domain and range
flip over
between the two functions.
The graphs are symmetrical with respect to the line
y
=
x
.
No support for LM Objects
LiveMath Notebook
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Disclaimer
Updated August 2, 2008
Email:
mitsuma@kutztown.edu