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vera_ewing

  • one year ago

Is the sine value negative or positive?

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  1. vera_ewing
    • one year ago
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    \[ \frac{ 5\pi }{ 3 }\]

  2. Nnesha
    • one year ago
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    |dw:1439321452729:dw| \(\huge\color{green}{\rm CAST}\) rule

  3. Nnesha
    • one year ago
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    |dw:1439321495330:dw| sin is positive only in first and 2nd qudrant

  4. vera_ewing
    • one year ago
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    Is the sine value \[\frac{ 1 }{ 2 }\]

  5. vera_ewing
    • one year ago
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    Or \[\frac{ \sqrt{3} }{ 2 }\]

  6. Nnesha
    • one year ago
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    solution (x,y) where x-coordinate = cos and y-coordinate represent sin value

  7. Michele_Laino
    • one year ago
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    hint: \[\Large \frac{{5\pi }}{3} > \pi \]

  8. Nnesha
    • one year ago
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    and i would convert radian to degree i like degrees ...

  9. vera_ewing
    • one year ago
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    So the sine value is \[\frac{ 1 }{ 2 }\]

  10. Nnesha
    • one year ago
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    (x ,y) x-coordinate = cos y-coordinate = sin

  11. Michele_Laino
    • one year ago
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    more precisely: \[\Large 2\pi > \frac{{5\pi }}{3} > \frac{{3\pi }}{2}\]

  12. vera_ewing
    • one year ago
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    Or is the sine value \[\frac{ \sqrt{3} }{ 2 }\]

  13. Nnesha
    • one year ago
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    |dw:1439321748150:dw|

  14. Nnesha
    • one year ago
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    you tell me which one is it ?

  15. Nnesha
    • one year ago
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    look at my first drawing sin is negative in 4th and 3rd qudrant

  16. Nnesha
    • one year ago
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    quadrant*

  17. vera_ewing
    • one year ago
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    Wait, so the sine value is negative?

  18. vera_ewing
    • one year ago
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    For 5pi/3 ?

  19. Nnesha
    • one year ago
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    5pi/3 is in which quadrant ?

  20. vera_ewing
    • one year ago
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    4th quadrant?

  21. Nnesha
    • one year ago
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    right so in 4th quadrant|dw:1439321901039:dw| only cos is POSITIVE

  22. Nnesha
    • one year ago
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    like in 3rd quadrant only tan is positive cos and sin are negative

  23. vera_ewing
    • one year ago
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    So the sine value of 5pi/3 is \[-\frac{ \sqrt{3} }{ 2 }\]

  24. vera_ewing
    • one year ago
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    ???

  25. Nnesha
    • one year ago
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    looks right

  26. vera_ewing
    • one year ago
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    Thank you.

  27. Nnesha
    • one year ago
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    my pleasure.

  28. welshfella
    • one year ago
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    @Nnesha - great diagram!!!

  29. welshfella
    • one year ago
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    if you want a mnemonic to remember ACTS - its 'All Cats Taste Sour ' I know that's horrible but you won't forget it!

  30. vera_ewing
    • one year ago
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    Thanks @welshfella lol :)

  31. Nnesha
    • one year ago
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    nice one hahaha!

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