Concept explainers
The simplified value of the expression
Answer to Problem 38RE
The simplified value of the expression
Explanation of Solution
Given information:
The expression is
Formula used:
For the sine function and its inverse, the following holds:
Where,
Inverse of sine and inverse of cosec related as,
Where,
Cosine function and sine function related as,
Calculation:
Consider the expression
Recall that inverse of sine and inverse of cosec related as,
Where,
Applied it,
Where,
Again recall that cosine function and sine function related as,
Using it,
Where,
Observe that the value
Recall that for the sine function and its inverse, the following holds:
Where,
Simplify further,
Thus, the simplified value of the expression
Chapter 7 Solutions
Precalculus
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