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Example Questions
Example Question #4 : Arcsin, Arccos, Arctan
Calculate .
Possible Answers:
Correct answer:
Explanation:
The domain on the argument for is
.
The range of the function is not defined at or , and so the domain of its inverse, , does not include those values. Hence, we must find the angle between and for which .
Since , the equation can be rewritten as
,
or
for some x between and .
Now, when , since .
Therefore,
.
Andrew
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