anonymous
  • anonymous
What is the measure of the angle in standard position? photo: http://puu.sh/3bnMn.jpg
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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bahrom7893
  • bahrom7893
http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm
anonymous
  • anonymous
Options are 30 degrees 330 degrees -60 degrees -30 degrees I'd say the answer is 330, but how do the fractions come in to this?
bahrom7893
  • bahrom7893
You're given a point. Using that point you can find the angle.

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bahrom7893
  • bahrom7893
|dw:1370734723372:dw| Use the x and y coordinates to find out the lengths of the sides of the triangle.
bahrom7893
  • bahrom7893
|dw:1370734790585:dw| Tan(x) = (1/2)/(sqrt(3))/2) = 1/sqrt(3) = sqrt(3)/3
bahrom7893
  • bahrom7893
x = Tan^-1(sqrt(3)/3) = 30 degrees
anonymous
  • anonymous
Is it 30 or -30 because it's clockwise?
bahrom7893
  • bahrom7893
Well right now as far as we're concerned it's just 30, but we're not done yet.
anonymous
  • anonymous
okay
bahrom7893
  • bahrom7893
|dw:1370734914870:dw|
anonymous
  • anonymous
so the measurement is 330 then, right? because 330 is counterclockwise
bahrom7893
  • bahrom7893
yea, 330=360-30 because the entire circle is 360.
anonymous
  • anonymous
okay. also, is solving this easier with decimal values? like using .87 instead of sqrt3/2 and -.5 instead of -1/2?
bahrom7893
  • bahrom7893
i say always go for exact till it gets too complicated. Especially if the options you're selecting from are exact numbers, then you should not even use decimals.
anonymous
  • anonymous
okay, great. thanks!
bahrom7893
  • bahrom7893
np

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