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Feb 11, 2026
y = f(x)
1.00
Period: 6.28 (2π)
How to Use This Calculator
1
Enter Values
Fill in the required fields with your numbers.
2
Calculate
Click calculate or see results update in real time.
3
Read Results
View detailed breakdowns and explanations below.
📘 Parameters
|A| = Amplitude
2π/B = Period
C = Phase Shift (Horizontal)
D = Vertical Shift (Midline)
2π/B = Period
C = Phase Shift (Horizontal)
D = Vertical Shift (Midline)
Changing these parameters stretches, compresses, or moves the wave without changing its fundamental S-shape.
✍️ Applications
- Sound Waves: A is volume, B is pitch (frequency).
- Tides: D is average sea level, A is high tide height.
- AC Current: Oscillates 60 times a second (B = 120π for 60Hz).
🏗️ Modeling
- You can model daylight hours over a year using a sine function.
- Period = 365 days.
- Phase shift aligns the peak with Summer Solstice.
⚠️ B vs Period
- B is the "Angular Frequency".
- Period (T) is how long one cycle takes physically.
- T = 2π / B.
✅ Key Takeaways
- Range: The output calculates between [D - |A|] and [D + |A|].
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