0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
How the sine curve related to a curve?
Basically, it IS a curve.
What is the gradient of a sine curve?
Cosine
How are sine and cosine curves similar?
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
What is continually changing in the sine curve?
The angle.
What is the connection between trigonometry ratios and sound waves?
Sound waves are transmitted through a medium as variations in the pressure of the medium. If the variation is plotted as a function of distance (or time), they will generate a sine curve (the cosine curve is the same as a sine curve with a phase shift). In practise, the sine curve is damped: the amplitude (or height) of the oscillations gradually decrease over time or distance, because of attenuation.
How the sine curve related to a curve?
Basically, it IS a curve.
What is the gradient of a sine curve?
Cosine
How are sine and cosine curves similar?
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
How is trigonometry used in music?
For any pure note, the vibration of the string or the compression waves of air is a sine (or cosine) curve. Harmonic notes are sine curves whose frequencies are multiples of the basic frequency.
What is a good mathematical model for representing transverse waves?
sine wave.
What is continually changing in the sine curve?
The angle.
What is the connection between trigonometry ratios and sound waves?
Sound waves are transmitted through a medium as variations in the pressure of the medium. If the variation is plotted as a function of distance (or time), they will generate a sine curve (the cosine curve is the same as a sine curve with a phase shift). In practise, the sine curve is damped: the amplitude (or height) of the oscillations gradually decrease over time or distance, because of attenuation.
Sine wave means what?
The sine wave is also called a sinusoid is a mathematical curve that describes the smooth repetitive oscillation.
What happens to a sine curve if a negative constant c is added to the variable x?
The curve is shifted to the right by c.
How do you convert a sine curve function to a cosine curve function?
One way is to shift it to the left by a quarter of the period.
How do you shift a sine wave up or down?
You can move a sine curve up or down by simply adding or subtracting a number from the equation of the curve. For example, the graph of y = sin x + 4 moves the whole curve up 4 units, with the sine curve crossing back and forth over the line y = 4. On the other hand, the graph of y = sin x - 1 slides
If you are given the equation of an normal sine curve how would you determine its period?
a normal sine curve exists with the formula Asin(Bx+C)+D. The formula to derive a phase shift would be such: 2pi/B (for whatever value B exists at). Thus, for a normal sine curve (sin(x) we would get 2pi/1, and arrive at 2pi for the period.
