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# Adding different Angular frequency w(t)?

Charlie Mack
wrote...
A year ago
 Adding different Angular frequency w(t)? I am having trouble understanding this. I understand how to solve the equation but can we just add the angular frequency? I thought they have to be the same?Express in single cosine?y(t)=5cos(500t+60) + 100cos(100t-30)Can we just add the 500t and 100t?The answer is 100.123cos(wt-27.13) ; w=? Read 3209 times 3 Replies

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Replies
wrote...
Educator
A year ago
 Quote from: Charlie Mack (A year ago)Can we just add the 500t and 100t?Unfortunately you cannot.You can use the following formula:Set:$$A = 5$$$$B = 100$$$$\alpha=60$$$$\beta=-30$$See if you can get the rest on your own. If not, simply reply back See the document below for further reference. Attached file Sum_of_Two_Sinusoids.pdf (147.44 KB) You must login or register to gain access to this attachment.
wrote...
2 months ago Edited: 2 months ago, romir.juwelz
 Was looking long for an answer to this. Can I somehow use the formulars in your attachement to add a Sine and a Cosine with doubled frequency?
wrote...
Educator
2 months ago
 Quote from: romir.juwelz (2 months ago) Was looking long for an answer to this. Can I somehow use the formulars in your attachement to add a Sine and a Cosine with doubled frequency? Can you show me what the expressions look like?
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