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anonymous

  • one year ago

What is sin Pi/4 in a unit circle?

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  1. anonymous
    • one year ago
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    please help!

  2. jim_thompson5910
    • one year ago
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    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?

  3. anonymous
    • one year ago
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    is it 45 degrees?

  4. jim_thompson5910
    • one year ago
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    45 degrees = pi/4 radians the final answer isn't 45 degrees though

  5. anonymous
    • one year ago
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    i'm not sure what to do after then....

  6. jim_thompson5910
    • one year ago
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    look at the attached image notice how I'm circling the point when the angle is pi/4

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  7. jim_thompson5910
    • one year ago
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    what point did I circle? what is the y coordinate of that point?

  8. anonymous
    • one year ago
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    sqrt 2/2?

  9. jim_thompson5910
    • one year ago
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    therefore, \[\Large \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}\]

  10. jim_thompson5910
    • one year ago
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    the y coordinate corresponds to sine the x coordinate corresponds to cosine

  11. anonymous
    • one year ago
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    so the answer is Pi/4?

  12. anonymous
    • one year ago
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    the answer is 1/root2

  13. anonymous
    • one year ago
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    sorry, i meant sqrt 2

  14. jim_thompson5910
    • one year ago
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    Another example, \[\Large \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}\]

  15. anonymous
    • one year ago
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    i understood, i just typed the wrong thing that iwas trying to say. but thank you!

  16. jim_thompson5910
    • one year ago
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    no problem

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