I guess this is maybe more algebra than calculus, but it stems from a calculus problem, so I'll stick it here.(adsbygoogle = window.adsbygoogle || []).push({});

The problem is:

In the case of the simple harmonic oscillator the solution [to the EOM] may be written at least 3 ways

x(t) = Acos(wt) + Bsin(wt)

= Ccos(wt + del)

= De^(iwt) + Ee^(1wt)

Express C and del in terms of A and B. Express D and E in terms of A and B.

What I've got:

I got the first part, C and del, but I can't figure out how to find D and E. It seems relatively straightforward, I put the A/B eq as the LHS and the D/E eq on the RHS and just applied Euler's Formula to the D term. But I can't figure out how to get the E term in terms of cos and sin.

Any help please?

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# Homework Help: Transforming equations

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