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

Question

anonymous · Answer

attachment

zehanz · Answer

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...)

anonymous · Answer

Im not really sure

anonymous · Answer

How do i figure out what the number a is?

zehanz · Answer

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...

anonymous · Answer

Ok but where did the a come from

anonymous · Answer

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