anonymous
  • anonymous
Use a graphing calculator to solve the equation 3tan 1/3 0=8 in the interval from 0 to 2pi Round your answers to the nearest hundredth.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
This equation? \[\Large 3\tan\left(\frac{1}{3}\theta\right) = 8\]
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
ok replace theta with x \[\Large 3\tan\left(\frac{1}{3}\theta\right) = 8\] \[\Large 3\tan\left(\frac{1}{3}x\right) = 8\]

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jim_thompson5910
  • jim_thompson5910
then subtract 8 from both sides \[\Large 3\tan\left(\frac{1}{3}x\right) = 8\] \[\Large 3\tan\left(\frac{1}{3}x\right)-8 = 8-8\] \[\Large 3\tan\left(\frac{1}{3}x\right)-8 = 0\]
jim_thompson5910
  • jim_thompson5910
now graph `y = 3*tan(1/3x)-8` into a graphing calculator here's a free one to use if you don't have a graphing calculator https://www.desmos.com/calculator
jim_thompson5910
  • jim_thompson5910
look for the point where the graph crosses the x axis
anonymous
  • anonymous
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anonymous
  • anonymous
this is what i am given
jim_thompson5910
  • jim_thompson5910
what did you type in?
anonymous
  • anonymous
y=3*tan (1/3x)-8
jim_thompson5910
  • jim_thompson5910
strange, I'm getting this (see attached image)
campbell_st
  • campbell_st
if you are being asked to solve, why not graph y = 8 and \[y = \tan(\frac{x}{3})\] and find the points of intersection in the given domain.
jim_thompson5910
  • jim_thompson5910
@campbell_st it should be `3tan(x/3)`
jim_thompson5910
  • jim_thompson5910
but that's a good alternative
anonymous
  • anonymous
that is weird mine will not give me that graph. so approx -5.9 and 3.7
jim_thompson5910
  • jim_thompson5910
https://www.desmos.com/calculator/fgkktgo5bo
jim_thompson5910
  • jim_thompson5910
focus on the interval from 0 to 2pi 2pi = 6.28 so you're only focusing on roots between 0 and 6.28
anonymous
  • anonymous
3.64 is the only point located between the two so that would be the answer
jim_thompson5910
  • jim_thompson5910
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jim_thompson5910
  • jim_thompson5910
3.64 is correct
anonymous
  • anonymous
Thank you again for explaining!
jim_thompson5910
  • jim_thompson5910
sure thing
campbell_st
  • campbell_st
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