lalalamichelle
how do i find tan sqrt3/3?
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lalalamichelle
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\[\tan \sqrt{3}/3\]
lalalamichelle
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sorry, tan (theta) sqrt3/3
petewe
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tan theta = sqrt 3 /3 ?
lalalamichelle
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yeah, there are aparently 6 solutions
lalalamichelle
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like a formula solution
timo86m
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how to you find theta you mean? use arctan aka tan^-1
lalalamichelle
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well 5pi/6 is one of the solutions
so how would i write a formula solution?
edwardp
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sqrt3/3 = sqrt3/(sqrt3)^2 = 1/sqrt3
tan theta=1/sqrt3
so the answer is 30
edwardp
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pi/6
timo86m
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(1/6)*Pi and there ar an infinite amnt of solotions. Cuzz it is a trig function.
timo86m
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other wise just use calc in radian mode to get
tan(3√/3)=0.6513878868
lalalamichelle
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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
timo86m
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the + kpi just means that every k_pi it repeats.
lalalamichelle
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how do you get 5pi/6?
timo86m
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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.
lalalamichelle
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oh ok
lalalamichelle
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thanks
lalalamichelle
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yeah