(a)
To find: The amplitude, period, phase and horizontal shift for the given function.
(a)
Answer to Problem 7T
The amplitude is 5, period is
Explanation of Solution
Given:
The given function is,
Calculation:
The general sine curves is,
Where,
a is amplitude.
b is the phase.
The general equation of period is,
The given sine curve is,
Compare equation (1) and (3) to find the values of a and k.
The value of a is 2 and the value of k is
Substitute
In the given equation phase is
Substitute
Hence, the amplitude is 2, period is
(b)
To sketch: The graph for one complete period for the given trigonometric function.
(b)
Explanation of Solution
The interval on which the graphs complete one period is
The graph of the function
Figure (1)
The Figure (1) shows the graph of one complete period of
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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