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Cosine
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∙ 11y ago
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How the sine curve related to a curve?
Basically, it IS a curve.
How want to know that the gradient of a curve in displacement-time graph is increasing or decreasing?
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
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.
How to calculate the gradient from the non linear graph?
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
How the sine curve related to a curve?
Basically, it IS a curve.
How want to know that the gradient of a curve in displacement-time graph is increasing or decreasing?
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
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 can you tell whether the gradient of a curve is increasing or decreasing?
Differentiate the curve twice and then enter a value for x. If the answer is positive, the gradient is increasing at that point. If the answer is negative, the gradient is decreasing at that point. And if the answer is zero, the gradient is not changing.
The derivative finds the of a curve?
The gradient of the tangents to the curve.
What is a good mathematical model for representing transverse waves?
sine wave.
What is continually changing in the sine curve?
The angle.
How to calculate the gradient from the non linear graph?
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
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.
What is the gradient of the tangent to the curve at x equals 2 if Y equals x2?
Gradient to the curve at any point is the derivative of y = x2 So the gradient is d/dx of x2 = 2x. When x = 2, 2x = 4 so the gradient of the tangent at x = 2 is 4.
Sine wave means what?
The sine wave is also called a sinusoid is a mathematical curve that describes the smooth repetitive oscillation.
What makes a graph curve?
A gradual change in the gradient (slope).
