TRIGONOMETRIC FUNCTIONS Max Amplitude, period, and phase shift of sine and cosine functions Español Find the period, amplitude, and phase shift of the function. 1 sin (2x )- 2 Give the exact values, not decimal approximations. JT Period: ? | Amplitude:| Aa Phase shift: |A ш X

TRIGONOMETRIC FUNCTIONS Max Amplitude, period, and phase shift of sine and cosine functions Español Find the period, amplitude, and phase shift of the function. 1 sin (2x )- 2 Give the exact values, not decimal approximations. JT Period: ? | Amplitude:| Aa Phase shift: |A ш X

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Description: See attachment TRIGONOMETRIC FUNCTIONSMaxAmplitude, period, and phase shift of sine and cosine functionsEspañolFind the period, amplitude, and phase shift of the function.1sin (2x )-2Give the exact values, not decimal approximations.JTPeriod:?| Ampli

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section: Chapter Questions

Problem 12PS

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Vibrating String When a violin string vibrates, the sound produced results from a combination of standing waves that have evenly placed nodes. The figure (1) illustrates some of the possible standing waves. Lets assume that the string has length . a.For fixed t, the string has the shape of a sine curve y=Asinx. Find the appropriate value of for each of the illustrated standing waves. b.Do you notice a pattern in the values of that you found in part a? What would the next two values of be? Sketch rough graphs of the standing waves associated with these new values of . c.Suppose that for fixed t, each point on the string that is not a node vibrates with frequency 440Hz. Find the value of for which an equation of the form y=Acost would model this motion. d.Combine your answers for parts a and c to find functions of the form y(x,t)=Asinxcost that model each of the standing waves in the figure. Assume that A=1. Figure (1)
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SKILLS Evaluating Expression Involving Trignometric Functions Evaluate each expression under the given conditions. tan(+);cos=13, is in Quadrant III, sin=14, is in Quadrant II.
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