The function y(x, t) = sin(x) cos(vt) is a solution to the wave equation. Show that the function can be written as f(x + vt) + g(x – vt). What are f(x + vt) and g(x – vt)? Hint: 2 cos 0 sin p = – sin(0 – p) + sin(0 + 4)

The function y(x, t) = sin(x) cos(vt) is a solution to the wave equation. Show that the function can be written as f(x + vt) + g(x – vt). What are f(x + vt) and g(x – vt)? Hint: 2 cos 0 sin p = – sin(0 – p) + sin(0 + 4)

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Wave Motion

Section: Chapter Questions

Problem 22P

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Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

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The function y(x, t) = sin(x) cos(vt) is a solution to the wave equation. Show that the function can be
written as f(x + vt) + g(x – vt). What are f (x + vt) and g(x – vt)?
Hint: 2 cos 0 sin p = – sin(0 – p) + sin(0 + ø)

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