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RhondaSommer (rhondasommer):
RhondaSommer (rhondasommer):
need to restart my computer, isnt this one pi as well?
jimthompson5910 (jim_thompson5910):
\[\Large \sin\left(2x\right)\]
is the same as
\[\Large 1*\sin\left(2x-0\right)+0\]
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Notice how the color-coded terms match up
\[\Large {\color{red}{1}}*\sin\left({\color{blue}{2}}x-{\color{green}{0}}\right)+{\color{purple}{0}}\]
\[\Large {\color{red}{A}}*\sin\left({\color{blue}{B}}x-{\color{green}{C}}\right)+{\color{purple}{D}}\]
where...
|A| = amplitude
2pi/B = period
C/B = phase shift
y = D is the equation of the midline
jimthompson5910 (jim_thompson5910):
so we see
A = 1
B = 2
C = 0
D = 0
jimthompson5910 (jim_thompson5910):
`isnt this one pi as well?`
T = 2pi/B
T = 2pi/2
T = pi
yep the period is pi
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