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myininaya

  • 5 years ago

is there a way to prove that cos(pi/3)=1/2

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  1. anonymous
    • 5 years ago
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    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.

  2. anonymous
    • 5 years ago
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    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.

  3. myininaya
    • 5 years ago
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    these are cool things to know. I will be your fan :)

  4. anonymous
    • 5 years ago
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    =D

  5. anonymous
    • 5 years ago
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    :)

  6. lgbasallote
    • 4 years ago
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    |dw:1336890915598:dw| \[\cos (\frac{\pi}{3}) = \frac{1}{2}\] hehe :P

  7. myininaya
    • 4 years ago
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    Yes I know that one Wow this was a long time ago

  8. myininaya
    • 4 years ago
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    Great job :)

  9. lgbasallote
    • 4 years ago
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    lol i was supposed to look at your first question then i noticed this..thanks :D

  10. myininaya
    • 4 years ago
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    i can't remember that i asked this

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