How to graph a sine wave?

In this Excel charting tutorial, you can learn how to graph a sine wave.

The sine wave is usually the first function that students learn as they study trigonometry.

Thanks to the sine wave, you can show physical phenomena such as sound waves and it has applications in acoustics. A sine wave is considered to be the purest sound at a given frequency acoustically.

The sine wave in music plays a very important role. It is the starting point for Fourier analysis because it consists of presenting periodic functions as the sum of sine waves of different frequencies and phases.

Preparation of sine wave data

To create such sine wave chart first what you need is to prepare data.

Generate data for the sine wave. Start from writing angles from 0 to 360 degrees.

Angle degrees data

Next you need to convert degrees to radians. To do that just use =RADIANS(A2) and drag down.

Radians data

Next thing you need to do is convert radians to sine value.

Here’s the formula for you. Use Excel SIN fuction.

Sin formula will be =SIN(B2). Drag it down again.

How to plot since wave graph?

Base on sine values you will be able to insert sine wave plot.

 sine value data

Base on sine values create line chart.

Format the chart. To make the chart more readable, you may want to add gridlines, axis labels, and a title. You can also adjust the scale of the vertical axis to ensure that the sine wave fits within the chart area.

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Sine Wave Plot

Adding a Trendline

Optionally, you can add a trendline to the chart to visualize the sine wave’s general shape more clearly.

Right-click on a data point, select “Add Trendline,” and choose the “Sine” option to create a smooth curve representing the sine wave.

Adjusting Frequency and Amplitude

Sine waves can be customized by adjusting their frequency and amplitude.To change the frequency, you can modify the increments of the angles in your data. Smaller increments create higher-frequency waves, while larger increments result in lower-frequency waves.

To modify the amplitude, simply multiply the sine values by a constant. A larger constant increases the amplitude, while a smaller one decreases it.

Adding Multiple Sine Waves

Excel allows you to add multiple sine waves to a single chart.

Generate additional sine wave data with different frequencies and amplitudes.Plot these data sets on the same chart to visualize the superposition of multiple sine waves.

Here’s where you can download this Sine Value Plot.

By mastering these advanced techniques, you’ll have a deeper understanding of sine waves and their applications. Excel’s versatility in charting and data analysis makes it a powerful tool for studying complex waveforms and phenomena.