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kalli

  • one year ago

Can someone help me with this problem Solve each equation on the interval [0, 2pi]. 4sin^2-3=0 is the equation

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  1. kalli
    • one year ago
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    Actually, I think I may have got it but can someone check my answers?

  2. cwrw238
    • one year ago
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    what do you get?

  3. cwrw238
    • one year ago
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    first what do you get for sin x?

  4. kalli
    • one year ago
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    4sin^2x - 3 = 0 sin^2x = 3/4 sinx = √3/2 or sinx = -√3/2

  5. cwrw238
    • one year ago
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    yes correct

  6. kalli
    • one year ago
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    So would my answer be x= pi/3 or 2pi/3 ?

  7. cwrw238
    • one year ago
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    it asks for values in the interval 0 to 2pi and the sine can be negative or positive so there is an angle in each quadrant which satisfies the equation.

  8. kalli
    • one year ago
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    So I should have 4 answers then right?

  9. cwrw238
    • one year ago
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    pi/3 and 2pi/3 are 2 answers

  10. cwrw238
    • one year ago
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    yes

  11. cwrw238
    • one year ago
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    |dw:1433707726572:dw|

  12. cwrw238
    • one year ago
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    thers the other 2

  13. cwrw238
    • one year ago
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    |dw:1433707815590:dw|

  14. kalli
    • one year ago
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    4pi/3 nd 5pi/3?

  15. cwrw238
    • one year ago
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    yes

  16. kalli
    • one year ago
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    Okay thanks so much! Do you mind checking my work for a similar problem as well?

  17. cwrw238
    • one year ago
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    ok

  18. kalli
    • one year ago
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    This one is solving on the same interval cos(3x) = -1 ---> 3x = arccos(-1) ---- >3x=pi So x= pi/3

  19. cwrw238
    • one year ago
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    3x = pi but it could also = 3pi or 5pi

  20. cwrw238
    • one year ago
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    so x = pi/3 , pi, 5pi/3 all of which are in the interval 1 to 2pi

  21. kalli
    • one year ago
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    do i need four answers?

  22. cwrw238
    • one year ago
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    no - there are only 3

  23. cwrw238
    • one year ago
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    7pi/3 is greater than 2pi

  24. cwrw238
    • one year ago
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    you have to be careful with these multiple angles

  25. cwrw238
    • one year ago
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    if x must be in the interval 0 to 2pi then 3x is in interval 0 to 6pi

  26. cwrw238
    • one year ago
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    ok?

  27. kalli
    • one year ago
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    Ohhh, ok i see

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