SOLUTION: Two frequencies of sound are played on an instrument governed by the function n(t)=8cos(20pie*t)cos(1000pie*t). What is the peroid and frequency of the fast and slow oscillation?

Algebra.Com
Question 1161865: Two frequencies of sound are played on an instrument governed by the function n(t)=8cos(20pie*t)cos(1000pie*t). What is the peroid and frequency of the fast and slow oscillation? What is ampmitude?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

cos(a)*cos(b) =  + .


There are two harmonic modes in this instrument.


The low frequency is  Hertz = 490 Hertz;  the period is   of a second.


The high frequency is  Hertz = 510 Hertz;  the period is   of a second.


The amplitude is 4 units for each harmonic mode.



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
No math problems with pie.
Use the Greek letter pi.

RELATED QUESTIONS

Two frequencies of sound are played on an instrument governed by tge function... (answered by ikleyn)
Two frequencies of sound are played on an instrument governed by the function... (answered by ikleyn)
What is the period of F(t) = 3 COS(4 * t) + 5 COS(SQRT(2)*t) (answered by Fombitz)
A profitability curve is drawn as a function of time, t (t>0), and is governed by this... (answered by checkley77)
In a certain state, the sales tax T on the amount of taxable goods is 8% of the value of... (answered by Theo)
What is the trig. functions if sin t =12/13, terminal point t is in the second quadrant ? (answered by lwsshak3)
Musical notes can be represented by the trigonometric function y=sin(2pi qx) where q is... (answered by Alan3354)
A real number t is given. On a unit circle, draw the angle in standard position and arc... (answered by ikleyn)
If cos(t) = -2/3, and t is in quadrant III, find the exact values of sin(t), sec(t),... (answered by MathLover1,math_tutor2020)