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graph the trig function

 
 
sara313
 
Reply Tue 17 Mar, 2009 04:35 pm
f(t)= - cos (pi/4 - 3t)
graph the trig function and show all work
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BillRM
 
  1  
Reply Tue 17 Mar, 2009 05:21 pm
@sara313,
And why are you posting this here?

This is just plugging in numbers being sure to set the right units. Hint degrees are not the correct unit.
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markr
 
  1  
Reply Tue 17 Mar, 2009 07:53 pm
@sara313,
"show all work" would seem to imply that it is not about plugging in numbers, but about analyzing the function and determining the period, amplitude, phase shift, and offset.
BillRM
 
  1  
Reply Tue 17 Mar, 2009 07:58 pm
@markr,
Could be however it was graph this function was the stated problem not analyzing the function or determining any other character of the function.
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raprap
 
  1  
Reply Thu 19 Mar, 2009 06:17 am
@sara313,
Quote:
f(t)= - cos (pi/4 - 3t)


Use what you know

first its a cosine wave so its a periodic squiggley--its a cosine squiggly so at 0 its 1 and at pi its 0. The midpoint is1

second is a negative cosine squiggley--so the normal cosine squiggley is upside down

third it has a 3 term in the variable t, so the frequency is tripled , normal wavelength of a cosine squiggley is 2pi, but if 3t=2pi, then wavelength is 2pi/3.

fourth its been displaced at -cos(0)=-1 0=pi/4-3to so to=pi/12 so the t axis is shifted to the right by pi/12

fifth the cos is negative--since cos is a even function the cosine wave is reflected about the to line (i.e. do nothing past step 4)

rap
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