Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I am struggling to understand the maths in the text shown below.

(1) How does: r(t) = Acos(wt)+Bsin(wt)

become; sqrt((A^2)+(B^2))cos(wt - arctan(B/A))?

(2) He states that we can represent the input as a phasor and in one of three ways but doesn't say which one.

(3) He then focus on the forced response {R(s)} the laplace transform of the input.

(4) He then then seperates the forced solution from the transient solution by performing a partial faction expansion but I am unsure what is meant by this seperation?

Any help genuinely appreciated.

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# Analytical Expressions for Frequency Response

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