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Question 1.1: Write the expression u = 3 cos(ωt) + 2 cos(ωt – π/3) in the ...

Write the expression u = 3 cos(ωt) + 2 cos(ωt – π/3) in the form u = A cos(ωt + Φ).

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Using the addition formula for cos(ωt – π/3), we find u=3 \cos (ωt)+ 2 \cos \frac{\pi }{3} \cos (ωt)+ 2 \sin \frac{\pi }{3} \sin (ωt)=4 \cos (ωt)+1.732 \sin (ωt) .

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