Sinusoid Phase Shift Calculator
Sinusoid Phase Shift with stated conventions, validation and a worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- The sine argument is in radians. For A=0 the graph is constant; reported shift and period describe the underlying sine expression.
Example Calculation
- A: 2
- B: 3
- C: -6
- D: 1
For 2sin(3x−6)+1, the shift is 2, period 2π/3 and amplitude 2.
Frequently asked questions
How do I use this calculator?
Enter a, b, c, d. The result updates automatically. Use Reset to restore the example values.
What method does it use?
For y=A sin(Bx+C)+D, phase shift = −C/B; period = 2π/|B|.. The sine argument is in radians. For A=0 the graph is constant; reported shift and period describe the underlying sine expression.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.