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algebra precalculus - Sinusoidal Functions for real life application ...
Jun 9, 2017 · The tide can be modelled by a sinusoidal function. 1) Find the formula for the height H (t) of the tide, in metres, as a function of time t, in hours. Assume that t=0 at 10AM. 2) Find the height of the tide at noon.
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Real World Examples of Sinusoidal and Logistic Functions (and ...
Feb 12, 2013 · Real World Examples of Sinusoidal and Logistic Functions (and Regression)? Anyone ever use a real world example (or data) of either: 1) Sinusoidal Regression 2) …
Constructing a function based on a real-world scenario
Oct 9, 2019 · Choosing the sinusoidal function means that there will be no length of time where the train is moving at a constant speed, and the acceleration and deceleration will be exactly opposite, separated by the point of inflection …
Modeling Real World Situations / Trigonometric …
Jul 31, 2018 · Describe how the shape of the sine curve models the distance your friend is to the platform you are on. Identify the function that will model this situation as well as a function that will model the if we measure his distance to …
Sinusoid with period as a linear function of time
Jul 30, 2022 · I am trying to construct a sinusoidal function (e.g. sin(2πf*(x-a))) with a linearly changing period. This is my thought process: P(t) = a + bt. f(t) = 1/P(t) We can use the …
What, fundamentally, is the reason for the shape of a …
May 15, 2014 · My favorite real-life visualization of a sin curve comes from a telephone handset cable: When stretched out on a flat surface, and viewed from above, the shape of the cable approximates a sin curve. The equations for the …
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trigonometry - How do I determine the equation of a Sinusoidal Function ...
Dec 24, 2023 · Create a graph of the distance of the pendulum from the net with respect to time, then find the graph's amplitude, period, vertical translation, and phase shift for this function.
trigonometry - Sinusoidal Function With Changing Frequency ...
May 17, 2020 · I am trying to find a simple sine-wave based function with a period of 1 where the crest is at h and trough at l, where l,h are reals and l < h. The function doesn't have to be …
calculus - giving sin graph an equation word problem
Jan 6, 2022 · Let $t$ represent hours since midnight and $y$ represent the wave's height in feet, assumed to be sinusoidal in time. You got the amplitude and vertical shift and period of the …
statistics - Given a data set, how do you do a sinusoidal regression …
If you have a bunch of points (xi, yi) and you want to fit the best sinusoidal Asin(Bx + C), what you do is define a squared error E = n ∑ i = 1(yi − Asin(Bxi + C))2. You then simultaneously solve three equations for the triple (A, B, C), ∂E ∂A = 0, ∂E ∂B = 0, ∂E ∂C = 0.
Sum of Sinusoids with Same Frequency = Sinusoid (proof)
Nov 25, 2014 · Sinusoids can be represented as the imaginary part of $Ae^{i(\omega t+\phi)}=Ae^{i\phi}e^{i\omega t}=Ze^{i\omega t}$, where $Z$ is a complex number, that carries …
Construct sinusoidal functions - Mathematics Stack Exchange
Apr 23, 2016 · You are trying to construct an equation for a function which is decreasing at x = 0 x = 0, but the sin sin function is increasing at x = 0 x = 0. So you cannot have a positive a a or …
definition of sinusoidal curve - Mathematics Stack Exchange
A sinusoid is a function which can be written in the form $f(x) = R\sin (ax + b)$. So for example $\cos x = \sin (-x + \frac{\pi}{2})$, and so forth. It sounds like your sinusoidal spiral is a …
trigonometry - Sum of sin waves with same frequency …
Jul 14, 2018 · The formula $\sqrt{A_1^2+A_2^2}$ applies to sinusoids in quadrature ($\frac\pi2$ phase difference), such as when summing a sine and a cosine. Signals in phase just add up their amplitudes, $A_1+A_2$, while …
what is the range of independent variable of a sinusoid?
Sep 15, 2020 · Let us say I represent a sinusoidal function as: $$ y = \sin x $$ Then what will be its time period? How to decide what is the range of its independent variable $x$ as we don't …
How can I describe a linear equation that becomes sinusoidal …
Jan 16, 2021 · For example, take $y = x$, but at $x \geq 5$, $y$ now equals $\sin x + 5$. So for all $x$ values $\lt 5$, $y$ has linear relationship, but at $\geq 5$, $y$ now has sinusoidal relationship. Is there a concise way to express this, perhaps a single equation?
Real world uses of hyperbolic trigonometric functions
I covered hyperbolic trigonometric functions in a recent maths course. However I was never presented with any reasons as to why (or even if) they are useful. Is there any good examples …
examples of functions with vertical asymptotes in real life
Jan 21, 2015 · Similar: sec x = 1cos x. Not much 'real life' examples, however as much real, as the whole mathematics, I think... An 'unreal life' example: put a coin into your pocket half past …
Trigonometric functions -- sin - cos - Mathematics Stack Exchange
Oct 25, 2020 · tan(x) = sin(x) cos(x) With a right triangle with hypotenuse 1 and an angle x. The base is cos x and height sin x, or vice versa, and tan x is their ratio. They are different ratios, …
periodic functions - Verifying periodicity of a signal/sinusoid in the ...
Jan 25, 2023 · Is the signal not periodic because it is not a complex exponential or because the curve is dictated by a sinusoidal function one can use the $\alpha$ test and say it is periodic …
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