anonymous
  • anonymous
Find the exact value of cos-1the quantity square root of three divided by two.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\cos^{-1} (\sqrt{3}/2)\]
Nnesha
  • Nnesha
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
Nnesha
  • Nnesha
btw in the order pair (x,y) cos = x sin = y

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More answers

anonymous
  • anonymous
so what do i do next
Nnesha
  • Nnesha
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 :=)
Nnesha
  • Nnesha
it's 30-60-90 ****
anonymous
  • anonymous
unit circle i guess
Nnesha
  • Nnesha
alright |dw:1444053304744:dw| at what angle cos = sqrt{3}/2
anonymous
  • anonymous
30 and 60
anonymous
  • anonymous
no just 30
Nnesha
  • Nnesha
there should be two angle when cos =sqrt{3}/2 remember it's reflected over they axis |dw:1444053390030:dw|
Nnesha
  • Nnesha
the*
anonymous
  • anonymous
i thought you only needed one but okay then 330
Nnesha
  • Nnesha
well there are two you should write both as an ansaawer just in case if they are looking for more than one value hmm
anonymous
  • anonymous
okay so whats the next step?
Nnesha
  • Nnesha
that's it
Nnesha
  • Nnesha
is there any statement about degree or radian ? i mean answer should be in degree or radian ?
anonymous
  • anonymous
but its the arc cosine
anonymous
  • anonymous
its a radian
Nnesha
  • Nnesha
right when we need an angle we take invs of ratio so that's why it's arccos
Nnesha
  • Nnesha
ohh okay formula to convert degree to radian \[\huge\rm rad=\frac{ \pi}{ 180} \times degree \]
anonymous
  • anonymous
well which angle do i use
Nnesha
  • Nnesha
both angles 30 and 330
anonymous
  • anonymous
cant i just use the radian it has on the unit circle next to it
Nnesha
  • Nnesha
yes you can
Nnesha
  • Nnesha
you will get the same answer
anonymous
  • anonymous
but both are an answer choice
anonymous
  • anonymous
which one is right
Nnesha
  • Nnesha
ohh so you can pick only one ?
anonymous
  • anonymous
yes
Nnesha
  • Nnesha
i'll pick 30 bec that's the angle where it starts
Nnesha
  • Nnesha
330 is areflection
anonymous
  • anonymous
so pi/6?
Nnesha
  • Nnesha
looks good
anonymous
  • anonymous
thank you
Nnesha
  • Nnesha
yw

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