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

1. anonymous

$\tan \sqrt{3}/3$

2. anonymous

sorry, tan (theta) sqrt3/3

3. anonymous

tan theta = sqrt 3 /3 ?

4. anonymous

yeah, there are aparently 6 solutions

5. anonymous

like a formula solution

6. anonymous

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

7. anonymous

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

8. anonymous

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

9. anonymous

pi/6

10. anonymous

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

11. anonymous

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

12. anonymous

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. anonymous

the + kpi just means that every k_pi it repeats.

14. anonymous

how do you get 5pi/6?

15. anonymous

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. anonymous

oh ok

17. anonymous

thanks

18. anonymous
19. anonymous

yeah