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A sine curve/sine wave looks like a long half moon with another running over it starting in approximately the middle of the first and continuing. Wish I could draw how it looks on an oscilliscope Draw a long mound on a paper several times connected together. The go back to the first mound and start the same mound line in the middle of the first and loop over the next,etc.etc
It looks like a circle that is bisected into 2 semicircles, then had the top semicircle rotated 180 degrees such that both semicircles are connected at only one point.
Aaarrghhh!
You can plot it using a construction based on a circle divided into segments, from the intersections of radii and circumference. Alternatively plot it as amplitude against angle using a scientific calculator or sine table: for one complete cycle of the wave the turning-points are 1 and -1 at 90 and 270 degrees respectively, it equals 0 at 0, 180 and 360 degrees.
Or use Excel!
It does NOT look like 2 semicircles at all! It is not a set of circular arcs! The curve starts concave, becomes almost straight for an infinitesimal section then goes convex as it approaches the turning-point.
Simple ripples on a pond, or deep ocean swell unaffected by local wind, follow the same form.
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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
What is a good mathematical model for representing transverse waves?
sine wave.
What is continually changing in the sine curve?
The angle.
Can you please explain the sine curve in a simple way so that a 10Th grader would understand?
Try and show this as well as you can: Think of a wheel, or whatever that is cylinder-shaped. One point on the wheel's base is our aim of attention. If you look at the wheel from the side, and roll it at a constant speed, one point on the wheel makes a sine curve. You could illustrate by adding something that leaves a trail to a cylinder. Like gluing a piece of chalk on a scroll of tape. Then roll the scroll next to a blackboard, and the result should be a sine curve, where the amplitude is the same as the radius of the scroll.
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
WHEN DOES A SUPPLY CURVE LOOK LIKE A DEMAND CURVE?
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