Concept explainers
The simplified value of the expression
Answer to Problem 40RE
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,
Tangent 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 tangent 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
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
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