## anonymous one year ago 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.

1. jim_thompson5910

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

2. anonymous

yes

3. jim_thompson5910

ok replace theta with x $\Large 3\tan\left(\frac{1}{3}\theta\right) = 8$ $\Large 3\tan\left(\frac{1}{3}x\right) = 8$

4. jim_thompson5910

then subtract 8 from both sides $\Large 3\tan\left(\frac{1}{3}x\right) = 8$ $\Large 3\tan\left(\frac{1}{3}x\right)-8 = 8-8$ $\Large 3\tan\left(\frac{1}{3}x\right)-8 = 0$

5. 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

6. jim_thompson5910

look for the point where the graph crosses the x axis

7. anonymous

8. anonymous

this is what i am given

9. jim_thompson5910

what did you type in?

10. anonymous

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

11. jim_thompson5910

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

12. 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.

13. jim_thompson5910

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

14. jim_thompson5910

but that's a good alternative

15. anonymous

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

16. jim_thompson5910
17. 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

18. anonymous

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

19. jim_thompson5910

20. jim_thompson5910

3.64 is correct

21. anonymous

Thank you again for explaining!

22. jim_thompson5910

sure thing

23. campbell_st