Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The sound wave of two music notes can be represented by the function y = 2cos2x and y = −cos x, where x represents the time since the note is played. At what times will the frequencies of the sound waves be the same in the interval [0°, 360°)?

x = 0°, 60°, 180°, 300°
x = 0°, 120°, 240°, 180°
x = 60°, 90°, 270°, 300°
x = 90°, 120°, 240°, 270°

Sagot :

MrRoyal

The sound waves are illustrations of cosine functions

The frequencies of the sound waves are x = 90°, 120°, 240°, 270°

How to determine the frequencies of the sound waves

The equations of the sound waves are given as:

[tex]y = 2\cos^2(x)[/tex]

[tex]y =-\cos(x)[/tex]

Next, we plot the graphs of the functions [tex]y = 2\cos^2(x)[/tex] and [tex]y =-\cos(x)[/tex]

From the graphs of the functions (see attachment), we have the following x-coordinates of the points of intersection of the both curves between the interval [0°, 360°)

[tex]x =(\frac{\pi}{2},\frac{2\pi}{3},\frac{4\pi}{3},\frac{3\pi}{2})[/tex]

Express as degrees

[tex]x =(90^o,120^o, 240^o, 270^o)[/tex]

Hence, the frequencies of the sound waves are x = 90°, 120°, 240°, 270°

Read more about sound waves at:

https://brainly.com/question/2285154

View image MrRoyal
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.