2.14* Make up a table with columns headed by values of 0 running from -π/2 to 2π in intervals of π/4. In each column place the cor- responding value of sin 0, beneath those the values of cos 0, beneath those the values of sin (0-π/4), and similarly with the functions sin (0/2), sin (0 - 3/4), and sin (0+π/2). Plot each of these functions, noting the effect of the phase shift. Does sin lead or lag sin (0/2). In other words, does one of the functions reach a par- ticular magnitude at a smaller value of 0 than the other and therefore lead the other (as cos leads sin 0)?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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2.14* Make up a table with columns headed by values of 0 running
from -π/2 to 2π in intervals of π/4. In each column place the cor-
responding value of sin 0, beneath those the values of cos 0, beneath
those the values of sin (0-π/4), and similarly with the functions
sin (0/2), sin (0 - 3/4), and sin (0+π/2). Plot each of these
functions, noting the effect of the phase shift. Does sin lead or lag
sin (0/2). In other words, does one of the functions reach a par-
ticular magnitude at a smaller value of 0 than the other and therefore
lead the other (as cos leads sin 0)?
Transcribed Image Text:2.14* Make up a table with columns headed by values of 0 running from -π/2 to 2π in intervals of π/4. In each column place the cor- responding value of sin 0, beneath those the values of cos 0, beneath those the values of sin (0-π/4), and similarly with the functions sin (0/2), sin (0 - 3/4), and sin (0+π/2). Plot each of these functions, noting the effect of the phase shift. Does sin lead or lag sin (0/2). In other words, does one of the functions reach a par- ticular magnitude at a smaller value of 0 than the other and therefore lead the other (as cos leads sin 0)?
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