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www.brightstorm.com/.../find-an-equation-for-the-sine-or-cosine-wave

When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph, find the amplitude which is half the distance between the maximum and minimum. Next, find the period of the function which is the horizontal distance for the function to repeat.

en.wikipedia.org/wiki/Sine_wave

A cosine wave is said to be sinusoidal, because ⁡ = ⁡ (+ /), which is also a sine wave with a phase-shift of π/2 radians. Because of this head start, it is often said that the cosine function leads the sine function or the sine lags the cosine.

www.youtube.com/watch?v=jfQ5KNt2pmc

Amplitude, Phase shift, Vertical Shift, and Period change of the Cosine Function - Duration: 9:11. Daniel Minger Mathematics 261,767 views

www.onlinemathlearning.com/sin-cos-equation.html

The following diagram shows how to find the equation of a sine graph. Scroll down the page for examples and solutions. Find an Equation for the Sine or Cosine Wave When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph 1.

www.youtube.com/watch?v=Jw_aGOrTDPo

106 - Wave Equation In this video Paul Andersen explains how a sine or cosine wave can describe the position of the wave based on wavelength or wave period. A wave function can the position of a ...

en.wikipedia.org/wiki/Trigonometric_functions

The sine and cosine functions are one-dimensional projections of uniform circular motion. Trigonometric functions also prove to be useful in the study of general periodic functions. The characteristic wave patterns of periodic functions are useful for modeling recurring phenomena such as sound or light waves.

physics.stackexchange.com/questions/36114/sinusoidal-wave-displacement-function

$\begingroup$ I am aware of the identity, but sin(x) and cos(x) on their own, are not equal. Therefore, sin(kx - wt) is not equal to cos(kx - wt).So when I'm given a question say: Write down the displacement function of a sinusoidal wave with A = 2.0, k = 4.0 and w = 1.5, would I write it as y(x,t) = 2.0cos(4x - 1.5t) or y(x,t) = 2.0sin(4x - 1.5t)?Forget about trig identities: I do not ...

www.brightstorm.com/.../find-an-equation-for-the-sine-or-cosine-wave-problem-1

Math video on how to write the equation of a trigonometric curve (sine curve) based on the graph of a stretched and reflected sine curve. Instructions on how to identify the type of curve (sine or cosine), the period based on intercepts and turning points, the amplitude, and the orientation. Problem 1.

www.khanacademy.org/.../mechanical-waves/v/wave-equation

In this video David shows how to determine the equation of a wave, how that equation works, and what the equation represents. ... Remember, if you add a number inside the argument cosine, it shifts the wave. In fact, if you add a little bit of a constant, it's gonna take your wave, it actually shifts it to the left. So we're not gonna want to add.

www.physicsforums.com/threads/write-the-cosine-wave.502984

write a cosine equation to model of the wave Assuming still that the leftmost crest intersects the y-axis, write the sine equation to model the wave. 2. Relevant equations y= acos(bx)+ d 3. The attempt at a solution I tried to find amplitude, that's all i can remember to write an cosine or sine equations.