(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(a) Show that A[tex]_{0}[/tex]cos([tex]\omega[/tex]t+[tex]\delta[/tex]) can be written as A[tex]_{s}[/tex]sin([tex]\omega[/tex]t)+A[tex]_{c}[/tex]cos([tex]\omega[/tex]t), and determine A[tex]_{s}[/tex] and A[tex]_{c}[/tex] in terms of A[tex]_{0}[/tex] and [tex]\delta[/tex].

(b) Relate A[tex]_{c}[/tex] and A[tex]_{s}[/tex] to the initial position and velocity of a particle undergoing simple harmonic motion.

2. Relevant equations

x=Acos([tex]\omega[/tex]t+[tex]\delta[/tex])

v[tex]_{x}[/tex]=-[tex]\omega[/tex]Asin([tex]\omega[/tex]t+[tex]\delta[/tex])

3. The attempt at a solution

I have absolutely no idea where to begin...please help!!! Thanks a bunch for whoever does!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Simple Harmonic Motion

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