Definition:Simple Harmonic Motion/Also defined as

Simple Harmonic Motion: Also defined as

Simple harmonic motion can also be characterised in the form:

$x = A \map \cos {\omega t + \phi}$

From Sine of Angle plus Right Angle:

$\map \sin {\omega t + \phi + \dfrac \pi 2} = \map \cos {\omega t + \phi}$

the two forms can be seen to be equivalent.

Sources

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 3.20$: Vibrations in Mechanical Systems