Directions: For problems 1 through 3, read each question carefully and be sure to show all work.1. What is the phase shift for y = 2sin(2x-)?2. What is the amplitude of y = 7cos(2x+л)?3. What is the period of y = sin(3x-π)?Directions: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation. Be sure toinclude a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shiftbetween the two graphs. Write in complete sentences.4. y 3sin(2x) and y = 3cos(2x)5. y 4sin(2x) and y = cos(3x- -플)

Step 1: First remember the general formy = c + a[sin(b(x-d))]where:vertical shift = camplitude =…

Answered: Directions: For problems 1 through 3,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.5: Trigonometric Graphs

Problem 29E

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Similar questions

Sketch the graph of y=2sinx from x=0 to x=2 by making a table using multiples of /2 for x. What is the amplitude of the graph you obtain?
As increases from 0 to 90, the value of csc tends toward _______.
Directions: For problems 1 through 3, read each question carefully and be sure to show all work. 1. What is the phase shift for y=sin(2x-3.14/4)? 2. What is the amplitude of y=7cos(2x+3.14)? 3. What is the period of y=sin(3x-3.14)?
Please give me the amplitude, period, the vertical and phase shift, and the midline of the equation attached. Also graph it
Find the b value to the equation y=3tan(bx) + 1 if the period is 2 pi?
QUESTION 4 Solve the problem. On a Touch-Tone phone, each button produces a unique sound. The sound produced is the sum of two tones, given by y = sin (2mlt) and y = sin (2Tht) y%3D where I and h are the low and high frequencies (cycles per second) shown on the illustration. Touch-Tone phone %3D 697 cycles/sec 770 cycles/sec 852 cycles/sec 941 cycles/sec 466 8 9 1209 1336 1477 cycles cycles cycies sec sec sec The sound produced is thus given by y sin (2mlt) + sin (2Tht) Write the sound emitted by touching the 7 key as a product of sines and cosines. O y= 2 sin(2061nt) cos(357t) Oy=2 sin(484Tt) cos(2188T)) Oy 2 sin(357TTT) cos(2061 t) Oy 2 sin(2188TTT) cos(484Trt) QUESTION 5 Express the sum or difference as a product of sines and/or cosines. 50
Graph the equation for values of x between 0° and 360° in multiples of 15°. y = cos(2x) The x y-coordinate plane is given. The curve begins at the point (0°, 1), goes down and right, crosses the x-axis at x = 90°, changes direction at the point (180°, −1), goes up and right, crosses the x-axis at x = 270°, and ends at the point (360°, 1). The x y-coordinate plane is given. The curve begins at the point (0°, 2), goes down and right, crosses the x-axis at x = 90°, changes direction at the point (180°, −2), goes up and right, crosses the x-axis at x = 270°, and ends at the point (360°, 2). The x y-coordinate plane is given. The curve begins at the origin, goes down and right, changes direction at the point (90°, −1), goes up and right, crosses the x-axis at x = 180°, changes direction at the point (270°, 1), goes down and right, and ends at the point (360°, 0). The x y-coordinate plane is given. The curve begins at the point (0°, 1), goes down and right, crosses the…

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