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Homework Statement
Find the amplitude and phase of the sinusoid (4√3-3)cos(2t + 30°) + (3√3 – 4)cos(2t + 60°)
Homework Equations
Acos wt + Bsin wt
The Attempt at a Solution
Answer should be amplitude 5 and phase 36.9° but I get 4.11 and 5.7
Welcome to the PF. Please show us your work, so that we can try to help you. That's how it works here on the PF.Homework Statement
Find the amplitude and phase of the sinusoid (4√3-3)cos(2t + 30°) + (3√3 – 4)cos(2t + 60°)
Homework Equations
Acos wt + Bsin wt
The Attempt at a Solution
Answer should be amplitude 5 and phase 36.9° but I get 4.11 and 5.7
Not sure what that's meant to represent. You have two sinusoidal functions of time, which can be added to make a new sinusiodal function, with a combined amplitude, and a combined resultant phase. It should look something like this:The square root of (4√3-3)^2 + (3√3 – 4)^ 2 = 4.11 and θ = tan^-1 (4√3-3)/(3√3 – 4) = 16.9 degrees