The Inverse Sine, Cosine, & Tangent Functions Worksheet Template

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Precalculus 7.1 The Inverse Sine, Cosine, & Tangent Functions
Objective: able to find the exact value of an inverse sine, cosine, or tangent function; find and approx. value of an inverse
sine function; use properties of inverse functions to find exact values of certain composite functions; find the inverse
function of a trigonometric function; solve equations involving inverse trig. functions
Recall from Section 5.2 regarding inverse functions:
=
1
x
f
f
(
f
(
x
))
_____
.
1. For every
in the domain of
,
=
-1
1
x
f
.
f
(
f
(
x
))
_____
2. For every
in the domain of
,
f
3. Domain of
= Range of ____
f
4. Range of
= Domain of ____
-1
f
f
5. The graph of
and the graph of
are symmetric with respect to ________
y = f(x)
6. If a function
has an inverse function, then the implicit inverse function is __________, and
y
solving for
, we get___________.
Graph the inverse sine function and state its domain and range.

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