# How do you find the equation of a sinusoidal axis?

## How do you find the equation of a sinusoidal axis?

The general equation for a sinusoidal function is:

- f(x)=±a⋅sin(b(x+c))+d.
- Horizontal stretch is measured for sinusoidal functions as their periods.
- The ability to measure the period of a function in multiple ways allows different equations to model an identical graph.

### How would you describe sinusoidal graphs?

The graphs of functions defined by y = sin x are called sine waves or sinusoidal waves. Notice that the graph repeats itself as it moves along the x-axis. This graph repeats every 6.28 units or 2 pi radians. It ranges from -1 to 1; half this distance is called the amplitude.

**What’s the meaning of sinusoidal?**

: of, relating to, shaped like, or varying according to a sine curve or sine wave sinusoidal motion sinusoidal alternating current sinusoidal grooves.

**What is another word for sinusoidal?**

In this page you can discover 11 synonyms, antonyms, idiomatic expressions, and related words for sinusoidal, like: sinusoid, waveform, amplitude, hysteresis, sinewave, oscillatory, impedance, planar, logarithmic, kinematic and sine wave.

## Where do sine graphs start?

0

The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

### What is the difference between cosine and sine graph?

In a cosine graph, a positive or negative number vertically flips the graph and determines whether the graph starts at the maximum (if it’s positive) or minimum (if it’s negative). For a sine graph, a positive or negative number vertically flips the graph like it does with a cosine graph.

**How do you find a sinusoidal function?**

1 Answer

- •The amplitude of a graph is the distance on the y axis between the normal line and the maximum/minimum.
- •The period of a graph is the distance on the x axis before the function repeats itself.
- •The horizontal displacement is given by solving for x in x−c=0 in y=acosb(x−c)+dory=asinb(x−c)+d .
- •

**How does the amplitude of a sinusoidal graph change?**

The value A affects the amplitude. The amplitude (half the distance between the maximum and minimum values of the function) will be |A|, since distance is always positive. Increasing or decreasing the value of A will vertically stretch or shrink the graph.

## What does vertical stretch do to a sinusoidal graph?

Knowing the period (horizontal stretch) can help you find the frequency of the function which can help you analyze radio signals, what color of light you’re looking at etc.. Vertical stretch gives you amplitude and (though I don’t know exactly how it works) the AM radio stations use Amplitude Modulation to transmit their signals.

### Where did the term sinusoid graph come from?

The term sinusoid was first use by Scotsman Stuart Kenny in 1789 while observing the growth and harvest of soybeans. y = A sin (Bx) and y = A cos (Bx). What affect does the value A have on the graph? A number in front of sine or cosine changes the height of the graph. The value A affects the amplitude.

**Which is the graph of the sine function?**

A sine wave, or sinusoid, is the graph of the sine function in trigonometry. (A and B are positive). Sinusoids are considered to be the general form of the sine function. In addition to mathematics, sinusoidal functions occur in other fields of study such as science and engineering.