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anonymous

  • one year ago

Find the exact value of cos-1the quantity square root of three divided by two.

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  1. anonymous
    • one year ago
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    \[\cos^{-1} (\sqrt{3}/2)\]

  2. Nnesha
    • one year ago
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    we take inverse of ratio to find an angle so you need an angle when cos theta = sqrt{3}/2 1st) you can use unit circle 2nd) calculator 3rd) familiar with 30-6-90 /45-45-90 triangle theorem

  3. Nnesha
    • one year ago
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    btw in the order pair (x,y) cos = x sin = y

  4. anonymous
    • one year ago
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    so what do i do next

  5. Nnesha
    • one year ago
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    1st) you can use unit circle 2nd) calculator 3rd) familiar with 30-6-90 /45-45-90 triangle theorem 3 ways to find an answer pick one :=)

  6. Nnesha
    • one year ago
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    it's 30-60-90 ****

  7. anonymous
    • one year ago
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    unit circle i guess

  8. Nnesha
    • one year ago
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    alright |dw:1444053304744:dw| at what angle cos = sqrt{3}/2

  9. anonymous
    • one year ago
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    30 and 60

  10. anonymous
    • one year ago
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    no just 30

  11. Nnesha
    • one year ago
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    there should be two angle when cos =sqrt{3}/2 remember it's reflected over they axis |dw:1444053390030:dw|

  12. Nnesha
    • one year ago
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    the*

  13. anonymous
    • one year ago
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    i thought you only needed one but okay then 330

  14. Nnesha
    • one year ago
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    well there are two you should write both as an ansaawer just in case if they are looking for more than one value hmm

  15. anonymous
    • one year ago
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    okay so whats the next step?

  16. Nnesha
    • one year ago
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    that's it

  17. Nnesha
    • one year ago
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    is there any statement about degree or radian ? i mean answer should be in degree or radian ?

  18. anonymous
    • one year ago
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    but its the arc cosine

  19. anonymous
    • one year ago
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    its a radian

  20. Nnesha
    • one year ago
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    right when we need an angle we take invs of ratio so that's why it's arccos

  21. Nnesha
    • one year ago
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    ohh okay formula to convert degree to radian \[\huge\rm rad=\frac{ \pi}{ 180} \times degree \]

  22. anonymous
    • one year ago
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    well which angle do i use

  23. Nnesha
    • one year ago
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    both angles 30 and 330

  24. anonymous
    • one year ago
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    cant i just use the radian it has on the unit circle next to it

  25. Nnesha
    • one year ago
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    yes you can

  26. Nnesha
    • one year ago
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    you will get the same answer

  27. anonymous
    • one year ago
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    but both are an answer choice

  28. anonymous
    • one year ago
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    which one is right

  29. Nnesha
    • one year ago
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    ohh so you can pick only one ?

  30. anonymous
    • one year ago
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    yes

  31. Nnesha
    • one year ago
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    i'll pick 30 bec that's the angle where it starts

  32. Nnesha
    • one year ago
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    330 is areflection

  33. anonymous
    • one year ago
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    so pi/6?

  34. Nnesha
    • one year ago
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    looks good

  35. anonymous
    • one year ago
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    thank you

  36. Nnesha
    • one year ago
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    yw

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