(a)
To find: The inverse trigonometric function.
(a)
Answer to Problem 57E
The function as a sinusoid is
Explanation of Solution
Given information:
The given function is
Calculation:
Calculate the function.
Therefore, the function as a sinusoid is
(b)
To find: The positive integer value of
(b)
Answer to Problem 57E
The positive value of
Explanation of Solution
Given information:
The given function is
Calculation:
For conjecture another formula substitute n or
Therefore, the positive integer value of
(c)
To check: The conjecture with the help of CAS.
(c)
Answer to Problem 57E
The conjecture formed is true for positive value of
Explanation of Solution
Given information:
The given function is
The conjecture work with a computer algebraic system for all positive value of
Hence, the conjecture formed is true for positive value of
(d)
To check: The conjecture by the formula for sine of the sum of two angles.
(d)
Answer to Problem 57E
The conjecture is true by the formula for sine of the sum of two angles.
Explanation of Solution
Given information:
The given function is
Calculation:
Check the conjecture by the sum of two angles of sine function as:
Therefore, the conjecture is true by the formula for sine of the sum of two angles.
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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