Sinusoidal Function Calculator

Work out sinusoidal function instantly with clear inputs, formula shown and shareable results.

About Sinusoidal Function Calculator

Evaluating a sinusoid means substituting x into A·sin(Bx + C). Differentiating gives dy/dx = A·B·cos(Bx + C), the instantaneous rate of change at that point.

Formulas

Sinusoid

y = A·sin(Bx + C)

Derivative

dy/dx = A·B·cos(Bx + C)

Worked example

With the default values below, Sinusoidal Function Calculator returns y = A·sin(Bx + C) of 2.99236072. Change any input above and every figure here is recalculated in your browser.

Inputs used

Amplitude A: 5
Frequency coefficient B: 2
Phase constant C (radians): 0.5
Evaluate at x (radians): 1

Results

y = A·sin(Bx + C): 2.99236072
Amplitude: 5.0000
Period: 3.14159265
dy/dx at x: -8.01143616

Step by step

1Values used
2Sinusoid
3Derivative
4y = A·sin(Bx + C)= 2.99236072
5Amplitude= 5.0000
6Period= 3.14159265
7dy/dx at x= -8.01143616

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax or fees or charges into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What units does x use here?

Radians. Convert degrees by multiplying by π/180 before entering the value.

How do I model a cosine instead?

Add π/2 to C, since cos u = sin(u + π/2).