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Concept explainers
To calculate: The exact value of the expression
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Answer to Problem 23RE
The exact value of the expression
Explanation of Solution
Given information:
The expression is
Formula used:
For the tangent function and its inverse, the following holds:
Where,
Addition of integer multiple of
That is, for all
Where
Calculation:
Consider the expression
Recall that addition of integer multiple of
unchanged. That is, for all
Where
Applied it,
Observe that the angle
Recall that for the sine function and its inverse is related as,
Where,
Simplify further,
Thus, the exact value of the expression
Chapter 7 Solutions
Precalculus
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