myininaya
  • myininaya
is there a way to prove that cos(pi/3)=1/2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Let V be the image point corresponding with the angle pi/3 on the unit circle and let E the intersection point of that circle with the positive X-axis. The triangle 'OVE' is equilateral. sin^2 (pi/3) = sqrt( 1 - cos^2 (pi/3)) = sqrt(3)/2 So, sin(pi/3) = sqrt(3)/2 and cos(pi/3) = 1/2.
anonymous
  • anonymous
if you write the cosine in terms of Euler's formula and expands in power series of the \[e^{i \theta} \] and \[e^{-i \theta} \] , you will get cos( pi/3)=1/2.
myininaya
  • myininaya
these are cool things to know. I will be your fan :)

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anonymous
  • anonymous
=D
anonymous
  • anonymous
:)
lgbasallote
  • lgbasallote
|dw:1336890915598:dw| \[\cos (\frac{\pi}{3}) = \frac{1}{2}\] hehe :P
myininaya
  • myininaya
Yes I know that one Wow this was a long time ago
myininaya
  • myininaya
Great job :)
lgbasallote
  • lgbasallote
lol i was supposed to look at your first question then i noticed this..thanks :D
myininaya
  • myininaya
i can't remember that i asked this

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