Question

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.

Answer 1

This equation?
\[\Large 3\tan\left(\frac{1}{3}\theta\right) = 8\]

Answer 2

yes

Answer 3

ok replace theta with x

\[\Large 3\tan\left(\frac{1}{3}\theta\right) = 8\]
\[\Large 3\tan\left(\frac{1}{3}x\right) = 8\]

Answer 4

then subtract 8 from both sides

\[\Large 3\tan\left(\frac{1}{3}x\right) = 8\]
\[\Large 3\tan\left(\frac{1}{3}x\right)-8 = 8-8\]
\[\Large 3\tan\left(\frac{1}{3}x\right)-8 = 0\]

Answer 5

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

Answer 6

look for the point where the graph crosses the x axis

Answer 7

this is what i am given

Answer 8

what did you type in?

Answer 9

y=3*tan (1/3x)-8

Answer 10

strange, I'm getting this (see attached image)

Answer 11

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.

Answer 12

@campbell_st it should be `3tan(x/3)`

Answer 13

but that's a good alternative

Answer 14

that is weird mine will not give me that graph. so approx -5.9 and 3.7

Answer 15

https://www.desmos.com/calculator/fgkktgo5bo

Answer 16

focus on the interval from 0 to 2pi

2pi = 6.28

so you're only focusing on roots between 0 and 6.28

Answer 17

3.64 is the only point located between the two so that would be the answer

Answer 18

3.64 is correct

Answer 19

Thank you again for explaining!

Answer 20

sure thing