Algebra and Trigonometry
Algebra and Trigonometry
1st Edition
ISBN: 9781938168376
Author: Jay Abramson
Publisher: OpenStax
bartleby

Videos

Textbook Question
Book Icon
Chapter 8.1, Problem 22SE

For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum x-values and their corresponding x-values on one period for x > 0. State the phase shift and vertical translation, if applicable. Round answers to two decimal places if necessary.

22. f ( t ) = 4 sin ( π 2 ( x − 3 ) ) + 7

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 8.1, Problem 21SE
Next
Chapter 8.1, Problem 23SE
Students have asked these similar questions
Find the exact values of sin(2u), cos(2u), and tan(2u) given 2 COS u where д < u < π. 2
Establish the identity. 1 + cos u 1 - cos u 1 - cos u 1 + cos u = 4 cot u csc u
sin(cos Find the exact value of the expression sin cos -1 3 -15 + sin 5 13

Chapter 8 Solutions

Algebra and Trigonometry

Ch. 8.1 - Determine the period of the function g(x)=(cosx3)...Ch. 8.1 - What is the amplitude of the sinusoidal function...Ch. 8.1 - Determine the direction and magnitude of the phase...Ch. 8.1 - Determine the direction and magnitude of the...Ch. 8.1 - Determine the midline, amplitude, period, and...Ch. 8.1 - Determine the formula for the sine function in...Ch. 8.1 - Write a formula for the function graphed in figure...Ch. 8.1 - Sketch a graph of g(x)=0.8cos(2x) . Determine the...Ch. 8.1 - Draw a graph of g(x)=2cos(3x+6) . Determine the...Ch. 8.1 - What is the amplitude of the function f(x)=7cos(x)...
Ch. 8.1 - A weight is attached to a spring that is then hung...Ch. 8.1 - Why are the sine and cosine functions called...Ch. 8.1 - How does the graph of y=sinx compare with the...Ch. 8.1 - For the equation Acos(Bx+C)+D, what constants...Ch. 8.1 - How does the range of a translated sine function...Ch. 8.1 - How can the unit circle be used to construct the...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph two full...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - For the following exercises, graph one full period...Ch. 8.1 - Determine the amplitude, midline, period, and an...Ch. 8.1 - Determine the amplitude, period, midline and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - Determine the amplitude, period, midline, and an...Ch. 8.1 - For the following exercises, let f(x)=sinx . 31....Ch. 8.1 - For the following exercises, let f(x)=sinx . 32....Ch. 8.1 - For the following exercises, let f(x)=sinx . 33....Ch. 8.1 - For the following exercises, let f(x)=sinx . 34....Ch. 8.1 - For the following exercises, let f(x)=sinx . 35....Ch. 8.1 - For the following exercises, let f(x)=sinx . 36....Ch. 8.1 - For the following exercises, let f(x)=sinx . 37....Ch. 8.1 - For the following exercises, let f(x)=cosx. 38. On...Ch. 8.1 - For the following exercises, let f(x)=cosx. 39. On...Ch. 8.1 - For the following exercises, let f(x)=cosx. 40. On...Ch. 8.1 - For the following exercises, let f(x)=cosx. 41. On...Ch. 8.1 - For the following exercises, let f(x)=cosx 42. On...Ch. 8.1 - Graph h(x)=x+sinx on [0,2) . Explain why the graph...Ch. 8.1 - Graph h(x)=x+sinx on [100,100] . Did the graph...Ch. 8.1 - Graph f(x)=x+sinx on [0,2) and verbalize how the...Ch. 8.1 - Graph f(x)=x+sinx on the window [10,10] and...Ch. 8.1 - Graph f(x)=sinxx on the window [5,5] and explain...Ch. 8.1 - A Ferris wheel is 25 meters in diameter and...Ch. 8.2 - Sketch a graph of f(x)=3tan(6x) .Ch. 8.2 - How would the graph in Example 2 look different if...Ch. 8.2 - Find a formula for the function in Figure 5.Ch. 8.2 - Graph one period of f(x)=2.5sec(0.4x) .Ch. 8.2 - Graph one period of f(x)=6sec(4x+2)8 .Ch. 8.2 - Graph one period of f(x)=0.5csc(2x) .Ch. 8.2 - Given the graph of f(x)=2cos(2x)+1 shown in Figure...Ch. 8.2 - Explain how the graph of the sine function can be...Ch. 8.2 - How can the graph of y=cosx be used to construct...Ch. 8.2 - Explain why the period of tan x is equal .Ch. 8.2 - Why are there no intercepts on the graph of...Ch. 8.2 - How does the period of y=cscx compare with the...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - Find the following exercises, match each...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, find the period and...Ch. 8.2 - For the following exercises, rewrite each...Ch. 8.2 - For the following exercises, rewrite each...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, sketch two periods of...Ch. 8.2 - For the following exercises, find and graph two...Ch. 8.2 - For the following exercises, find and graph two...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, find an equation for...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - For the following exercises, use a graphing...Ch. 8.2 - The function f(x)=20tan(10x) marks the distance in...Ch. 8.2 - Standing on the shore of a lake, a fisherman...Ch. 8.2 - A laser rangefinder is locked on a comet...Ch. 8.2 - A video camera is focused on a rocket on a...Ch. 8.3 - Given cos(0.5)0.8776 , write a relation involving...Ch. 8.3 - Evaluate each of the following. a. sin1(1) b....Ch. 8.3 - Evaluate cos1(0.4) using a calculator.Ch. 8.3 - Solve the triangle in Figure 9 for the angle .Ch. 8.3 - Evaluate tan1(tan(8)) and tan1(tan( 119)) .Ch. 8.3 - Evaluate cos1(sin( 114)) .Ch. 8.3 - Evaluate cos(tan1(5 12)) .Ch. 8.3 - Evaluate cos(sin1(79)) .Ch. 8.3 - Find a simplified expression for sin(tan1(4x)) for...Ch. 8.3 - Why do the functions f(x)=sin1x and g(x)=cos1x...Ch. 8.3 - Since the function y=cosx and y=cos1x are inverse...Ch. 8.3 - Explain the meaning of 6=arcsin(0.5) .Ch. 8.3 - Most calculators do not have a key to evaluate...Ch. 8.3 - Why must the domain of the sine function, sin x,...Ch. 8.3 - Discuss why this statement is incorrect:...Ch. 8.3 - Determine whether the following statement is true...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, use a calculator to...Ch. 8.3 - For the following exercises, find the angle in...Ch. 8.3 - For the following exercises, find the angle in...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value,...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, find the exact value...Ch. 8.3 - For the following exercises, evaluate the...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - For the following exercises, find the function if...Ch. 8.3 - Graph y=sin1x and state the domain and range of...Ch. 8.3 - Graph y=arccosx and state the domain and range of...Ch. 8.3 - Graph one cycle of y=tan1x and state the domain...Ch. 8.3 - For what value of x does sinx=sin1x ? Use a...Ch. 8.3 - For what value of x does cosx=cos1x ? Use a...Ch. 8.3 - Suppose a 13-foot ladder is leaning against a...Ch. 8.3 - Suppose you drive 0.6 miles on a road so that the...Ch. 8.3 - An isosceles triangle has two congruent sides of...Ch. 8.3 - Without using a calculator, approximate the value...Ch. 8.3 - A truss for the roof of a house is constructed...Ch. 8.3 - The line y=35x passes through the origin in the...Ch. 8.3 - The line y=37x passes through the origin in the...Ch. 8.3 - What percentage grade should a road have if the...Ch. 8.3 - A 20-foot ladder leans up against the side of a...Ch. 8.3 - Suppose a 15-foot ladder leans against the side of...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, graph two full...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, use this scenario:...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, suppose a weight is...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - For the following exercises, find the exact value...Ch. 8 - Graph f(x)=cosxand f(x)=secx on the interval [0,2)...Ch. 8 - Graph f(x)=sinx and f(x)=cscx and explain any...Ch. 8 - Graph the function f(x)=x1x33!+x55!x77! on the...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, sketch the graph of...Ch. 8 - For the following exercises, determine the...Ch. 8 - For the following exercises, determine the...Ch. 8 - For the following exercises, determine the...Ch. 8 - For the following exercises, find the amplitude,...Ch. 8 - For the following exercises, find the amplitude,...Ch. 8 - The outside temperature over the course of a day...Ch. 8 - Water is pumped into a storage bin and empties...Ch. 8 - For the following exercises, find the period and...Ch. 8 - For the following exercises, find the period and...Ch. 8 - Write the equation for the graph in Figure 1 in...Ch. 8 - If tanx=3 , find tan(x) .Ch. 8 - If secx=4 , find sec(x) .Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, graph the functions...Ch. 8 - For the following exercises, let f(x)=35cos(6x) ....Ch. 8 - For the following exercises, let f(x)=35cos(6x) ....Ch. 8 - For the following exercises, let f(x)=35cos(6x) ....Ch. 8 - For the following exercises, find and graph one...Ch. 8 - For the following exercises, find and graph one...Ch. 8 - For the following exercises, graph the function....Ch. 8 - For the following exercises, graph the function....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, find the exact value....Ch. 8 - For the following exercises, suppose sint=xx+1 ....Ch. 8 - For the following exercises, suppose sint=xx+1 ....Ch. 8 - Given Figure 2, find the measure of angle to...Ch. 8 - For the following exercises, determine whether the...Ch. 8 - For the following exercises, determine whether the...Ch. 8 - The grade of a road is 7%. This means that for...
Knowledge Booster
Background pattern image
Trigonometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
SEE MORE TEXTBOOKS
Trigonometry - Harmonic Motion - Equation Setup; Author: David Hays;https://www.youtube.com/watch?v=BPrZnn3DJ6Q;License: Standard YouTube License, CC-BY
Simple Harmonic Motion - An introduction : ExamSolutions Maths Revision; Author: ExamSolutions;https://www.youtube.com/watch?v=tH2vldyP5OE;License: Standard YouTube License, CC-BY