Chapter 28

Plot the graph of \(y_{1}=3 \sin A\) from \(A=0^{\circ}\) to \(A=360^{\circ}\). On the same axes plot \(y_{2}=2 \cos A\). By adding ordinates plot \(y_{R}=3 \sin A+2 \cos A\) and obtain a sinusoidal expression for this resultant waveform

Determine a sinusoidal expression for \(y_{1}-y_{2}\) when \(y_{1}=4 \sin \omega t\) and \(y_{2}=3 \sin (\omega t-\pi / 3)\)

Given \(y_{1}=2 \sin \omega t\) and \(y_{2}=3 \sin (\omega t+\pi / 4)\), obtain an expression for the resultant \(y_{R}=y_{1}+y_{2}\), (a) by drawing, and (b) by calculation

Two alternating voltages are given by \(v_{1}=15 \sin \omega t\) volts and \(v_{2}=25 \sin (\omega t-\pi / 6)\) volts. Determine a sinusoidal expression for the resultant \(v_{R}=v_{1}+v_{2}\) by finding horizontal and vertical components.