Question

Can someone please show me step by step how to do this??? This is geometry: Simple Harmonic Motion. Picture attached below.

Answer 1

The period of cos(t) is 2pi.
The period of cos(a*t) is 2pi/a
What do you think is then the period of cos(pi*t/3) ?
(Try to figure out what the number a is here...)

Answer 2

Im not really sure

Answer 3

How do i figure out what the number a is?

Answer 4

It is the number that is multiplied by t in the cos-function:

\(\cos(\pi t/3)=\cos(\frac{\pi}{3}t)\), so \(a=\frac{\pi}{3}\).

Now you have to calculatte the period with this a...

Answer 5

Ok but where did the a come from

Answer 6

Can Someone please show me STEP BY STEP COMPLETELY how to do this?