## lalalamichelle 2 years ago how do i find tan sqrt3/3?

1. lalalamichelle

$\tan \sqrt{3}/3$

2. lalalamichelle

sorry, tan (theta) sqrt3/3

3. petewe

tan theta = sqrt 3 /3 ?

4. lalalamichelle

yeah, there are aparently 6 solutions

5. lalalamichelle

like a formula solution

6. timo86m

how to you find theta you mean? use arctan aka tan^-1

7. lalalamichelle

well 5pi/6 is one of the solutions so how would i write a formula solution?

8. edwardp

sqrt3/3 = sqrt3/(sqrt3)^2 = 1/sqrt3 tan theta=1/sqrt3 so the answer is 30

9. edwardp

pi/6

10. timo86m

(1/6)*Pi and there ar an infinite amnt of solotions. Cuzz it is a trig function.

11. timo86m

other wise just use calc in radian mode to get tan(3√/3)=0.6513878868

12. lalalamichelle

well thats not what im looking for, thank you. the answer on the back of my book says theta=5pi/6+kpi and i dont know how they got that answer

13. timo86m

the + kpi just means that every k_pi it repeats.

14. lalalamichelle

how do you get 5pi/6?

15. timo86m

well when I and edwardp did it we used calculators to find arctan and it gave us (1/6)*Pi which is pi/6 Put since it is repeating. I assume that 5pi/6 is also an answer. Just my guess.

16. lalalamichelle

oh ok

17. lalalamichelle

thanks

18. timo86m
19. lalalamichelle

yeah