Question

how do i find tan sqrt3/3?

Answer 1

\[\tan \sqrt{3}/3\]

Answer 2

sorry, tan (theta) sqrt3/3

Answer 3

tan theta = sqrt 3 /3 ?

Answer 4

yeah, there are aparently 6 solutions

Answer 5

like a formula solution

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

pi/6

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

the + kpi just means that every k_pi it repeats.

Answer 14

how do you get 5pi/6?

Answer 15

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.

Answer 16

oh ok

Answer 17

thanks

Answer 18

https://www.google.com/search?q=tan+x&rlz=1C1CHFX_enUS470US470&oq=tan+x&aqs=chrome.0.57j0l2j60j0j62.3764&sugexp=chrome,mod=1&sourceid=chrome&ie=UTF-8#hl=en&safe=off&tbo=d&rlz=1C1CHFX_enUS470US470&sclient=psy-ab&q=tan+x%2C+(1%2F3)*sqrt(3)&oq=tan+x%2C+(1%2F3)*sqrt(3)&gs_l=serp.3...43592.44285.1.44735.3.3.0.0.0.0.140.398.0j3.3.0.les%3Bcrnk_timediscounta..0.0...1c.1.oDEAZrLQsEY&psj=1&bav=on.2,or.r_gc.r_pw.r_cp.r_qf.&fp=590195a7cf0fc162&bpcl=39580677&biw=1422&bih=776

look at graph. See how it intercepts every pi?

Answer 19

yeah