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Updated 2026-03-01 UTC
Graph a Sine Wave — Period and Amplitude Checks
Plot sine waves in GetCalcMaster 2D Graphing: amplitude, frequency, phase, and degree/radian pitfalls.
Sine waves are defined by amplitude, period, and phase. This guide shows how to plot them and sanity-check period/amplitude visually.
Important: Educational use only. Trig graphs depend on radians vs degrees conventions. Confirm your input definition.
What this calculator is
The 2D Graphing Tool is an interactive tool inside GetCalcMaster. It’s designed to help you explore scenarios, understand formulas, and document assumptions.
Key features
- Amplitude controls height
- Frequency controls period
- Phase shifts move the wave left/right
Formula
y(t) = A·sin(2π f t + φ) + CQuick examples
A=2, f=3 Hz, φ=0, C=0 → y=2·sin(6πt)Phase shift: φ=π/2 turns sin into cosOffset: C=1 shifts wave up by 1
Verification tips
- Period T = 1/f.
- Amplitude is peak deviation from the center line (C).
- Use radians for φ unless explicitly in degrees.
Common mistakes
- Mixing degrees and radians for phase.
- Confusing amplitude A with peak-to-peak (2A).
- Forgetting that frequency in the argument is 2πf (not just f).
How to use it (quick steps)
- Enter a function or equation for 2D plotting.
- Set the x-range (domain) and y-range (viewport) to match your scenario.
- Plot and inspect key points (intercepts, extrema) by adjusting the range.
- Save the equation and chosen ranges in Notebook for a reusable setup.
Related tools and guides
Featured guides
Deep, human-written guides focused on accuracy, verification, and reproducible workflows.
2D graphing guide
How to plot and interpret.
Plot a function
Ranges, discontinuities, sample-point checks.
Graph a parabola
Vertex/roots workflow.
Graphing hub
2D + 3D plotting topics.
FAQ
Why is the wave compressed or stretched?
Frequency changes the period. If you used degrees where radians were expected (or vice versa), the scale will look wrong.
How do I confirm the period?
Measure the distance between repeating peaks and compare to the expected period (2π for sin(x) in radians).
Tip: For reproducible work, save your inputs and reasoning in Notebook.