Mirandaregina
  • Mirandaregina
(Answer choices below) Given angle theta = 208 degrees and a right triangle inscribed within a circle of radius 5, what is the value of x of the corresponding coordinate? A) -2.34 B) -4.41 C) 2.34 D) 4.41
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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welshfella
  • welshfella
|dw:1437747172162:dw|
welshfella
  • welshfella
cos 208 = -cos 28 = x /5 x = -5 cos 28
welshfella
  • welshfella
take your calculator and work this out

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welshfella
  • welshfella
do you understand this?
Mirandaregina
  • Mirandaregina
@welshfella I do not
welshfella
  • welshfella
positive angles go counterclocwise so 208 degrees is the big arc
welshfella
  • welshfella
|dw:1437747608472:dw|
welshfella
  • welshfella
and the semicircle (between the 2 large dots) = 180 degrees so we have 28 degrees over OK?
Mirandaregina
  • Mirandaregina
@welshfella that part makes sense, I'm just not sure what part I'm supposed to enter in my calculator
welshfella
  • welshfella
applying trigonometry to the small triangle -cos 28 = adjacent / hypotenuse = x / 5 so x = - 5 * cos 28 thats what you enter into your calculator:- -5 times cos 28
Mirandaregina
  • Mirandaregina
@welshfella I have -5 * cos(28) = 4.8130
welshfella
  • welshfella
no thats not correct the x coordinate is negative and not as large as that
welshfella
  • welshfella
have you set ur calc to degrees?
Mirandaregina
  • Mirandaregina
@welshfella you're right, it wasn't set to degrees. Now I have -5*cos(28) = -4.41
welshfella
  • welshfella
you should get -4.41
welshfella
  • welshfella
right
welshfella
  • welshfella
|dw:1437748180441:dw|
Mirandaregina
  • Mirandaregina
@welshfella ok this is making sense to me now. Thank you for explaining this :)
welshfella
  • welshfella
yw

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