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DominiRican1013

  • one year ago

solve on the interval [0,2pi): 1+sin theta =1/2

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  1. welshfella
    • one year ago
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    sin theta = 1/2 - 1 = -1/2 first use your calculator to find the angle whose sine is 1/2 -then you can find theta - recall that the sine is negative in the 3rd and 4th quadrants

  2. DominiRican1013
    • one year ago
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    0.008727? or 30

  3. welshfella
    • one year ago
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    for sin-1 1/2

  4. welshfella
    • one year ago
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    30 degrees or pi/6

  5. welshfella
    • one year ago
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    i think they want the answer in radians as they wrote (0,2pi)

  6. DominiRican1013
    • one year ago
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    yes

  7. welshfella
    • one year ago
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    but pi/6 is not the answer as the sine is negative 1/2 there are 2 solutions - one in 3rd and one in 4th quadrant

  8. welshfella
    • one year ago
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    |dw:1436893056627:dw|

  9. welshfella
    • one year ago
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    in 3rd quadrant its pi + pi/6 = 7pi/6 can you work out the one in 4th quadrant?

  10. DominiRican1013
    • one year ago
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    would it be pi/6, 5pi/6 or 7pi/6, 11pi/6 or pi/3, 5pi/3 or 2pi/3, 4pi/3

  11. welshfella
    • one year ago
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    which one do you think ?

  12. DominiRican1013
    • one year ago
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    7pi/6?

  13. welshfella
    • one year ago
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    yes thats one of the roots whats the other

  14. welshfella
    • one year ago
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    |dw:1436893297874:dw|

  15. welshfella
    • one year ago
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    its that angle

  16. DominiRican1013
    • one year ago
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    11pi/6?

  17. welshfella
    • one year ago
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    right

  18. DominiRican1013
    • one year ago
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    You sure ? This is a serious situation

  19. welshfella
    • one year ago
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    the full circle = 2pi = 12pi/6 12pi/6 - pi/6 = 11pi/6

  20. DominiRican1013
    • one year ago
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    Thank YOU

  21. welshfella
    • one year ago
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    yw

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