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.

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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
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This equation? \[\Large 3\tan\left(\frac{1}{3}\theta\right) = 8\]
yes
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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then subtract 8 from both sides \[\Large 3\tan\left(\frac{1}{3}x\right) = 8\] \[\Large 3\tan\left(\frac{1}{3}x\right)-8 = 8-8\] \[\Large 3\tan\left(\frac{1}{3}x\right)-8 = 0\]
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
look for the point where the graph crosses the x axis
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this is what i am given
what did you type in?
y=3*tan (1/3x)-8
strange, I'm getting this (see attached image)
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.
@campbell_st it should be `3tan(x/3)`
but that's a good alternative
that is weird mine will not give me that graph. so approx -5.9 and 3.7
https://www.desmos.com/calculator/fgkktgo5bo
focus on the interval from 0 to 2pi 2pi = 6.28 so you're only focusing on roots between 0 and 6.28
3.64 is the only point located between the two so that would be the answer
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3.64 is correct
Thank you again for explaining!
sure thing
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