anonymous
  • anonymous
If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in complete sentences
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
@King.Void.

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UnkleRhaukus
  • UnkleRhaukus
|dw:1440302063568:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1440302106715:dw|
UnkleRhaukus
  • UnkleRhaukus
cosine = adjacent / hypotenuse sine = opposite / hypotenuse tangent = opposite / adjacent
UnkleRhaukus
  • UnkleRhaukus
the question states cosine of x equals 1 over 2 so you can determine the length of the adjacent side, and the hypotenuse
anonymous
  • anonymous
So sin would be 1/2 as well and tan would be 1/1 ?
UnkleRhaukus
  • UnkleRhaukus
|dw:1440302345298:dw|
UnkleRhaukus
  • UnkleRhaukus
work out the length of the opposite side, with pythag
UnkleRhaukus
  • UnkleRhaukus
1^2 + opp^2 = 2^2 opp =
UnkleRhaukus
  • UnkleRhaukus
NB: 1^1 + 1^2 = 2 ≠ 4
anonymous
  • anonymous
so x would equal \[\sqrt{3}\]
UnkleRhaukus
  • UnkleRhaukus
yeah, that is the length of the opposite side
anonymous
  • anonymous
so then i plug it in and thats the answer?
UnkleRhaukus
  • UnkleRhaukus
|dw:1440302619035:dw|
UnkleRhaukus
  • UnkleRhaukus
now work out sine = opposite / hypotenuse tangent = opposite / adjacent
anonymous
  • anonymous
so sin = √3/2 and tan =√3/1
UnkleRhaukus
  • UnkleRhaukus
YES!, but you should simplify √3/1
anonymous
  • anonymous
Thanks so much. Can you help me with one more please
UnkleRhaukus
  • UnkleRhaukus
Sure!
anonymous
  • anonymous
I'll make a new question and tag you again
UnkleRhaukus
  • UnkleRhaukus
ok!

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