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Charlie Mack Charlie Mack
wrote...
2 years ago
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=?
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wrote...
#1
Educator
2 years ago
Quote from: Charlie Mack (2 years 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 Slight Smile

See the document below for further reference.
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wrote...
#2
A year ago Edited: A year 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...
#3
Educator
A year ago
Quote from: romir.juwelz (A year 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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