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March 12th, 2012, 06:54 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, 07:11 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 xaxes. 
March 12th, 2012, 07:35 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs  Re: Sinusoid Question
Here is a plot of the curve over 1 period: [attachment=0:2h3vks6l]sinecurve.jpg[/attachment:2h3vks6l] Over this period, its yintercepts are from left to right: Its crest or maximum is at: Its trough or minimum is at: 

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