Solution Found!
Transform each of the following functions of time into phasor form: (a) 5 sin(580t 110);
Chapter 10, Problem 10.7(choose chapter or problem)
Transform each of the following functions of time into phasor form:
(a) \(-5 \sin \left(580 t-110^{\circ}\right)\); (b) \(3 \cos 600 t-5 \sin \left(600 t+110^{\circ}\right)\); (c) \(8 \cos \left(4 t-30^{\circ}\right)+4 \sin \left(4 t-100^{\circ}\right)\). Hint: First convert each into a single cosine function with a positive magnitude.
Questions & Answers
QUESTION:
Transform each of the following functions of time into phasor form:
(a) \(-5 \sin \left(580 t-110^{\circ}\right)\); (b) \(3 \cos 600 t-5 \sin \left(600 t+110^{\circ}\right)\); (c) \(8 \cos \left(4 t-30^{\circ}\right)+4 \sin \left(4 t-100^{\circ}\right)\). Hint: First convert each into a single cosine function with a positive magnitude.
ANSWER:Step 1 of 6
(a)
Consider 
Convert the sine function into cosine function by using 
The time domain expression is now in the form of cosine wave with a phase angle. Therefore, 
Therefore, the phasor form is 