Write The Equations Of The Trigonometric Graphs Calculator

Trigonometric functions are fundamental in mathematics, physics, and engineering. The write the equations of the trigonometric graphs calculator helps you generate the equations of sine, cosine, and tangent graphs with ease.

1. Select the desired trigonometric function (sine, cosine, or tangent).
2. Enter the amplitude and period values.
3. Click the ‘Calculate’ button.

The calculator uses the following formulas:

• Sine: y = a * sin(b * x)
• Cosine: y = a * cos(b * x)
• Tangent: y = a * tan(b * x)

Real-World Examples

Let’s consider three scenarios:

1. Amplitude = 2, Period = π – This represents a sine wave with a peak-to-peak height of 4 units and a full cycle every π units.
2. Amplitude = 3, Period = 2π – This is a cosine wave with a peak-to-peak height of 6 units and a full cycle every 2π units.
3. Amplitude = 4, Period = π/2 – This is a tangent wave with a peak-to-peak height of 8 units and a full cycle every π/2 units.

Data & Statistics

Function	Amplitude	Period	Equation
Sine	2	π	y = 2 * sin(π * x)
Cosine	3	2π	y = 3 * cos(2π * x)
Tangent	4	π/2	y = 4 * tan(π/2 * x)

Expert Tips

• Adjust the amplitude to control the height of the graph.
• Change the period to control the width of the graph.
• Use the calculator to visualize the effects of amplitude and period on trigonometric graphs.

Interactive FAQ

What is the amplitude in a trigonometric function?

The amplitude is the maximum distance between the center line and the peak of the graph.

What is the period in a trigonometric function?

The period is the distance between two consecutive peaks or troughs on the graph.

For more information, check out these authoritative sources:

• Period in Trigonometry – Maths is Fun
• Trigonometry Calculator – Omni Calculator