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anonymous

  • one year ago

Solve the interval [0,2pi): 1+sin theta=1/2 A.2pi/3, 4pi/3 B.pi/6, 5pi/6 C.pi/3, 5pi/3 D.7pi/6, 11pi/6

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  1. cwrw238
    • one year ago
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    subtract 1 from both sides of the equation: sin theta = -1/2

  2. anonymous
    • one year ago
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    Do I graph sin theta =-1/2?

  3. anonymous
    • one year ago
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    What does the [0,2pi) even mean?

  4. cwrw238
    • one year ago
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    [0,2pi) means the solutions in the range 0 to 2pi radians

  5. anonymous
    • one year ago
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    So can that limit my answers, or it doesn't matter?

  6. cwrw238
    • one year ago
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    first find the reference angle use your calculator to find the angle whose sine is 1/2 enter sin-1 (1/2) make sure that your calc is set to radians can you do that?

  7. cwrw238
    • one year ago
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    yes it limits the answers to angles in that range

  8. anonymous
    • one year ago
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    Yeah, althoght dont I need the unit circle for that, and can graphing be another way to solve the problem?

  9. cwrw238
    • one year ago
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    you can but its easier to use calc or you can use the dtandard triangle below:- |dw:1437850039490:dw|

  10. anonymous
    • one year ago
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    When I type in arcsin (1/2) I get pie/6? Is that correct?

  11. cwrw238
    • one year ago
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    yes - and you see its pi.6 from the above trianggle

  12. anonymous
    • one year ago
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    Yeah, but does that mean that its a solution to the problem?

  13. cwrw238
    • one year ago
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    but the sine is -1/2 and the angles with this sine are in the 3rd and 4th quadrants

  14. cwrw238
    • one year ago
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    |dw:1437850196121:dw|

  15. cwrw238
    • one year ago
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    oh - ive written them in degrees 30 degrees = pi/6 radians

  16. anonymous
    • one year ago
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    Oh!!!!, so now what?

  17. cwrw238
    • one year ago
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    |dw:1437850294435:dw|

  18. cwrw238
    • one year ago
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    thats one angle: 7pi/6 can you work out the other?

  19. anonymous
    • one year ago
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    I think so, let me trie! :0 By the way thank for yoir help, really appreciated!

  20. cwrw238
    • one year ago
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    one revolution = 2pi radians

  21. cwrw238
    • one year ago
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    yw

  22. anonymous
    • one year ago
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    I don't know if its correct but I get 11pi/6?

  23. cwrw238
    • one year ago
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    thats correct 2pi - pi/6 = 12pi/6 - pi/6 = 11pi/6

  24. cwrw238
    • one year ago
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    D is correct choice

  25. anonymous
    • one year ago
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    Okay thanks again! :)

  26. cwrw238
    • one year ago
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    yw

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