Finding the Period and Amplitude In Exercises 1-14, find the period and amplitude of the trigonometric function.
To calculate: The period and amplitude of the trigonometric function
Given Information:
The provided trigonometric function is
Calculation:
Consider the provided trigonometric function,
Consider the following graph:
Calculation of the period of trigonometric function:
Since, the period of the function is the distance (on the x-axis) between successive cycles.
Now, from the key points and the graph of trigonometric function we can see that the distance between successive cycles is
So, the period of the trigonometric function
Calculation of the amplitude of trigonometric function:
Since, the amplitude of the trigonometric function is defined to be the half of the difference between its maximum and minimum values
Calculus: Early Transcendentals
Finite Mathematics and Applied Calculus (MindTap Course List)
Multivariable Calculus
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: Early Transcendental Functions
Precalculus: Mathematics for Calculus (Standalone Book)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus (MindTap Course List)
Understanding Basic Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Mathematical Excursions (MindTap Course List)
Intermediate Algebra
Finite Mathematics
Probability and Statistics for Engineering and the Sciences
Mathematical Applications for the Management, Life, and Social Sciences
Single Variable Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Elementary Geometry For College Students, 7e
Elements Of Modern Algebra
Elementary Technical Mathematics
Calculus of a Single Variable
Calculus: Early Transcendental Functions (MindTap Course List)
Finite Mathematics for the Managerial, Life, and Social Sciences
Elementary Geometry for College Students
Calculus (MindTap Course List)
Multivariable Calculus
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Introduction To Statistics And Data Analysis
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Mathematics For Machine Technology
STATISTICS F/BUSINESS+ECONOMICS-TEXT
College Algebra (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)