Transform the following sinusoids into phasor form and draw a phasor diagram. Use the additive property of phasors to find \(v_{1}(t)+v_{2}(t)+v_{3}(t)\).

(a) \(v_{1}(t)=480 \cos \left(\omega t-45^{\circ}ight) \mathrm{V}\)

(b) \(v_{2}(t)=480 \cos \left(\omega t+73^{\circ}ight) \mathrm{V}\)

(c) \(v_{3}(t)=480 \cos \left(\omega t+195^{\circ}ight) \mathrm{V}\)