Phase Shift Calculator

Calculate phase shift, period, amplitude, and vertical shift for a trigonometric function.

Last updated: March 2026 | By ForgeCalc Engineering

Phase Shift Solver

Wave analysis

y = A sin(Bx - C) + D

Calculation Steps

1.Function: y = 1 sin(2x - 1) + 0

2.Phase shift = C / B

3.Phase shift = 1 / 2 = 0.5

4.Period = 2pi / |B| = 2pi / 2 = 3.141593

5.Amplitude = |A| = 1

6.Vertical shift = D = 0

Phase Shift

0.5

Period: 3.141593, amplitude: 1

Phase shift is the horizontal displacement of a trigonometric graph from its standard position. A positive phase shift moves the graph to the right.

phase shift = C / B

Example: y = sin(2x - 1) has a phase shift of 0.5 to the right.

1 / 2 = 0.5

Can the phase shift be negative?

Yes. A negative result means the graph shifts left.

Does this work for cosine too?

Yes. The same shift rules apply to cosine with the matching form.

What if B is zero?

The calculation is undefined because the period and shift formulas break down.

Does this accept decimals?

Yes. Any finite real inputs are accepted.

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