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ZeroAT

  • 3 years ago

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

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  1. abhisheksingh59
    • 3 years ago
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    C) sqrt 2 /2

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

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

  4. cyter
    • 3 years ago
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    c

  5. satellite73
    • 3 years ago
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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

  6. satellite73
    • 3 years ago
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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

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

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

  9. myininaya
    • 3 years ago
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    pie?

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

  11. myininaya
    • 3 years ago
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    apple pie?

  12. ZeroAT
    • 3 years ago
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    o.o

  13. myininaya
    • 3 years ago
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    chicken pot pie

  14. satellite73
    • 3 years ago
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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 \[-\frac{\pi}{4}\]

  15. satellite73
    • 3 years ago
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    rhubarb pie

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

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

  18. satellite73
    • 3 years ago
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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

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

  20. satellite73
    • 3 years ago
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    yup

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

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

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

  24. myininaya
    • 3 years ago
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    pie?

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

  26. myininaya
    • 3 years ago
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    pi?

  27. satellite73
    • 3 years ago
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    nope

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

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

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

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

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