Simple harmonic motion block 4

[Prateek Alawadhi]

Example 16.2 block 4 page 21

X=0.01cos4pi (t+0.0625)

In solution they are comparing this equation of position of an oscillator by

X=a sin(omega t + phi)

How they are comparing both these equation and solving

Also Mam I am confused in position of SHM 

X(t) = a sin(wt+phi)

Also 

X(t) = a cos (wt+Phi)

Which one is correct 

If both are correct then how

And where we use first one and where we have to use second one.

Totally confused

[vijayashri SOS]

It should have been compared with Eq. (16.6c), not Eq. (16.6b) because that is how the Example proceeds.

Note that Eq. (16.6c) has the cosine function.

This is a printing error.