anonymous
  • anonymous
What is sin Pi/4 in a unit circle?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
please help!
jim_thompson5910
  • jim_thompson5910
use this unit circle http://www.regentsprep.org/Regents/math/algtrig/ATT5/600px-Unit_circle_angles_svg.jpg locate the angle pi/4 then find the corresponding point on the unit circle for angle pi/4 what is the y coordinate of that point?
anonymous
  • anonymous
is it 45 degrees?

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jim_thompson5910
  • jim_thompson5910
45 degrees = pi/4 radians the final answer isn't 45 degrees though
anonymous
  • anonymous
i'm not sure what to do after then....
jim_thompson5910
  • jim_thompson5910
look at the attached image notice how I'm circling the point when the angle is pi/4
1 Attachment
jim_thompson5910
  • jim_thompson5910
what point did I circle? what is the y coordinate of that point?
anonymous
  • anonymous
sqrt 2/2?
jim_thompson5910
  • jim_thompson5910
therefore, \[\Large \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}\]
jim_thompson5910
  • jim_thompson5910
the y coordinate corresponds to sine the x coordinate corresponds to cosine
anonymous
  • anonymous
so the answer is Pi/4?
anonymous
  • anonymous
the answer is 1/root2
anonymous
  • anonymous
sorry, i meant sqrt 2
jim_thompson5910
  • jim_thompson5910
Another example, \[\Large \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}\]
anonymous
  • anonymous
i understood, i just typed the wrong thing that iwas trying to say. but thank you!
jim_thompson5910
  • jim_thompson5910
no problem

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