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ZeroAT

Please tell me how to do this problem Evaluate : sin(1/4 pie) A) 1 B) 0 C) sqrt 2 /2 D None of these

  • 2 years ago
  • 2 years ago

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  1. abhisheksingh59
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    C) sqrt 2 /2

    • 2 years ago
  2. ZeroAT
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    How did u get this?

    • 2 years ago
  3. satellite73
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    look at the unit circle on the last page of this cheat sheet.

    • 2 years ago
  4. cyter
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    c

    • 2 years ago
  5. satellite73
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    you will see that at \[\frac{\pi}{4}\] both the first and second coordinate on the unit circle is \[\frac{\sqrt{2}}{2}\] so both sine and cosine are the same there

    • 2 years ago
  6. satellite73
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    you can also do it directly using a triangle but this one comes up so often it is best to memorize it

    • 2 years ago
  7. ZeroAT
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    ok then how would i do a problem like tan( -337 pie /4 )

    • 2 years ago
  8. satellite73
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    oh lord. first of all you best find a point between 0 and 2 pi that is coterminal with \[\frac{-337\pi}{4}\]

    • 2 years ago
  9. myininaya
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    pie?

    • 2 years ago
  10. satellite73
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    myininaya will who you how, because last time i did this i got in a huge discussion mmmm pie

    • 2 years ago
  11. myininaya
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    apple pie?

    • 2 years ago
  12. ZeroAT
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    o.o

    • 2 years ago
  13. myininaya
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    chicken pot pie

    • 2 years ago
  14. satellite73
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    ok fine. lets to it the easy (for me) way \[\frac{-337}{4}=-84\tfrac{1}{4}\] and since 2 divides 84 evenly this angle is co terminal with \[-\frac{\pi}{4}\]

    • 2 years ago
  15. satellite73
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    rhubarb pie

    • 2 years ago
  16. myininaya
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    what value does pie hold?

    • 2 years ago
  17. myininaya
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    does pie=pi?

    • 2 years ago
  18. satellite73
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    \[\sin(-\frac{\pi}{4})=-\frac{\sqrt{2}}{2}, \cos(-\frac{\pi}{4})=\frac{\sqrt{2}}{2}\] and since tangent is the ratio of sine over cosine you get -1

    • 2 years ago
  19. ZeroAT
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    so the final answer is -1?

    • 2 years ago
  20. satellite73
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    yup

    • 2 years ago
  21. satellite73
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    and if you doubt me, here is proof http://www.wolframalpha.com/input/?i=tan%28-337+pi%2F4%29

    • 2 years ago
  22. satellite73
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    \[\color{blue}{\text{sk}}\color{red}{\pi}\color{blue}{\text{y}}\]

    • 2 years ago
  23. satellite73
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    that, my myininaya, was for you

    • 2 years ago
  24. myininaya
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    pie?

    • 2 years ago
  25. satellite73
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    c'mon. what did i write?

    • 2 years ago
  26. myininaya
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    pi?

    • 2 years ago
  27. satellite73
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    nope

    • 2 years ago
  28. satellite73
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    what do you see there?

    • 2 years ago
  29. myininaya
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    lol this pie concerns me

    • 2 years ago
  30. myininaya
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    not your pi his pie

    • 2 years ago
  31. satellite73
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    i made a joke. visual pun. ok not that clever but still...

    • 2 years ago
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