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znimon Group Title

Evaluate the expression without using a calculator.

  • one year ago
  • one year ago

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  1. znimon Group Title
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    \[\sin (\pi/3) + \cos (\pi/3)\]

    • one year ago
  2. znimon Group Title
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    An entry level explanation would be useful.

    • one year ago
  3. myko Group Title
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    Pi/3=60º as is well known cos60º=1/2 and sin60º=sqrt3/2

    • one year ago
  4. satellite73 Group Title
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    • one year ago
  5. znimon Group Title
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    Should I have converted them to degrees then?

    • one year ago
  6. satellite73 Group Title
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    allow me to disagree with @myko this question has nothing to do with degrees. forget degrees it has to do with numbers find the sine and cosine from the coordinates on the unit circle

    • one year ago
  7. myko Group Title
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    if it is more clear for you, then yes, if not just stay with radians

    • one year ago
  8. satellite73 Group Title
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    do not start a trig problem by converting numbers to degrees, it is a bad habit and will mess you up later if you are working with numbers, stick with numbers

    • one year ago
  9. myko Group Title
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    degrees are just, sometimes, more evident to place a apoint in the circle. But I agree with @satellite73 that it is more strait with rad

    • one year ago
  10. satellite73 Group Title
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    sine and cosine are functions of numbers, not angles. they correspond to the functions of angles if the angles are measured in radians

    • one year ago
  11. znimon Group Title
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    alright that seems to make sense. Will you walk me through what you mean by "find the sine and cosine from the coordinates on the unit circle?"

    • one year ago
  12. satellite73 Group Title
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    look at the last page of the cheat sheet i sent locate the point on the unit circle corresponding to \(\frac{\pi}{3}\) 2x ^{5}+x ^{3}-7x+14

    • one year ago
  13. satellite73 Group Title
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    corresponding to \(\frac{\pi}{3}\)

    • one year ago
  14. znimon Group Title
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    alright I see an ordered pair that looks suspiciously like sin and cos that you mentioned earlier

    • one year ago
  15. satellite73 Group Title
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    you should see the ordered pair \((\frac{1}{2},\frac{\sqrt{3}}{2})\) the first coordinate is \(\cos(\frac{\pi}{3})\) and the second coordinate is \(\sin(\frac{\pi}{3})\)

    • one year ago
  16. znimon Group Title
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    So what if this is on a test and I'm not allowed the cheat sheet?

    • one year ago
  17. znimon Group Title
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    This one seems fairly easy now I know this forms a 60 30 90 triangle but what about something more irregular or do these always form 30-60-90 or 45-45-90 triangles?

    • one year ago
  18. znimon Group Title
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    @satellite73

    • one year ago
  19. znimon Group Title
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    (The ones they ask me to solve without a calculator.)

    • one year ago
  20. znimon Group Title
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    @satellite73

    • one year ago
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