Constructing Inverse Trigonometric Functions
Geometry · Flashcards · Recall
GEOMETRY · FLASHCARDS
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QUESTION
What is the principal restricted domain used to define
y
=
arcsin
(
x
)
y=\arcsin(x)
y
=
arcsin
(
x
)
?
QUESTION
What is the range of
y
=
arctan
(
x
)
y=\arctan(x)
y
=
arctan
(
x
)
?
QUESTION
What monotonic behavior on an interval ensures a function is one-to-one there?
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ANSWER
Always increasing or always decreasing. Monotonic functions are one-to-one since they never repeat outputs.
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