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 March 12th, 2012, 07:54 PM #1 Newbie   Joined: Feb 2012 Posts: 9 Thanks: 0 Sinusoid Question Hello everyone, I have to graph a sinusoid y = -3sin(1/6)(x+5pi/6) and I'm having trouble doing it. Does the period come out to be 12pi? I'm not sure how to graph this function because it seems quite large! What can I do? Thanks!
 March 12th, 2012, 08:11 PM #2 Senior Member   Joined: Jan 2012 Posts: 131 Thanks: 0 Re: Sinusoid Question 1. Its a Sine wave, but lag(shifted to the left) by 5?/6 radians 2. The Period is 2?/(1/6)=12? 3. Amplitude is 3 4. The graph is reflected on the x-axes.
March 12th, 2012, 08:35 PM   #3
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Re: Sinusoid Question

Here is a plot of the curve over 1 period:

[attachment=0:2h3vks6l]sinecurve.jpg[/attachment:2h3vks6l]

Over this period, its y-intercepts are from left to right:

$$$-\frac{5\pi}{6}-6\pi,0$$=$$-\frac{41\pi}{6},0$$$

$$$-\frac{5\pi}{6},0$$$

$$$-\frac{5\pi}{6}+6\pi,0$$=$$\frac{31\pi}{6},0$$$

Its crest or maximum is at:

$$$-\frac{5\pi}{6}-3\pi,3$$=$$-\frac{23\pi}{6},3$$$

Its trough or minimum is at:

$$$-\frac{5\pi}{6}+3\pi,-3$$=$$\frac{13\pi}{6},-3$$$
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