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lalalamichelle

  • 3 years ago

how do i find tan sqrt3/3?

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  1. lalalamichelle
    • 3 years ago
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    \[\tan \sqrt{3}/3\]

  2. lalalamichelle
    • 3 years ago
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    sorry, tan (theta) sqrt3/3

  3. petewe
    • 3 years ago
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    tan theta = sqrt 3 /3 ?

  4. lalalamichelle
    • 3 years ago
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    yeah, there are aparently 6 solutions

  5. lalalamichelle
    • 3 years ago
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    like a formula solution

  6. timo86m
    • 3 years ago
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    how to you find theta you mean? use arctan aka tan^-1

  7. lalalamichelle
    • 3 years ago
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    well 5pi/6 is one of the solutions so how would i write a formula solution?

  8. edwardp
    • 3 years ago
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    sqrt3/3 = sqrt3/(sqrt3)^2 = 1/sqrt3 tan theta=1/sqrt3 so the answer is 30

  9. edwardp
    • 3 years ago
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    pi/6

  10. timo86m
    • 3 years ago
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    (1/6)*Pi and there ar an infinite amnt of solotions. Cuzz it is a trig function.

  11. timo86m
    • 3 years ago
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    other wise just use calc in radian mode to get tan(3√/3)=0.6513878868

  12. lalalamichelle
    • 3 years ago
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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

  13. timo86m
    • 3 years ago
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    the + kpi just means that every k_pi it repeats.

  14. lalalamichelle
    • 3 years ago
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    how do you get 5pi/6?

  15. timo86m
    • 3 years ago
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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.

  16. lalalamichelle
    • 3 years ago
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    oh ok

  17. lalalamichelle
    • 3 years ago
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    thanks

  18. lalalamichelle
    • 3 years ago
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    yeah

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