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logynklode

  • 2 years ago

7 sin2x - 14 sin x + 2 = -5 find all solutions

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  1. rvgupta
    • 2 years ago
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    cosx=-1

  2. logynklode
    • 2 years ago
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    thats not even english to me.

  3. rvgupta
    • 2 years ago
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    ok

  4. hba
    • 2 years ago
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    @hartnn

  5. logynklode
    • 2 years ago
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    7sin²(x) - 14sin(x) + 2 = -5 7sin²(x) - 14sin(x) + 7 = 0 7(sin²(x) - 2sin(x) + 1) = 0 sin²(x) - 2sin(x) + 1 = 0 (sin(x) - 1)² = 0 sin(x) - 1 = 0 sin(x) = 1 x = 90°

  6. logynklode
    • 2 years ago
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    would it be that?

  7. hartnn
    • 2 years ago
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    is it sin2x or \(sin^2 x\) ??

  8. logynklode
    • 2 years ago
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    sin squared x

  9. hartnn
    • 2 years ago
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    then sin x=1 is correct. but do u need solutions in the range of 0 to 180 only or all solutions ?

  10. logynklode
    • 2 years ago
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    no idea. the question say find all solutions to the equation

  11. hartnn
    • 2 years ago
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    because sin (360+90) also =1

  12. hartnn
    • 2 years ago
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    yes, all solutions means u don't have only 1 solution, u have infinite

  13. logynklode
    • 2 years ago
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    alright

  14. hartnn
    • 2 years ago
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    sin(x)=1 sin x = sin (90+360n) (n=1,2,3,....) so x= 90+360n are all the values of x with n=1,2,3,....`

  15. hartnn
    • 2 years ago
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    got that ^ ?

  16. logynklode
    • 2 years ago
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    yeah. is that the answer

  17. hartnn
    • 2 years ago
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    yes.

  18. logynklode
    • 2 years ago
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    you sure. i can wrrite that & ill be correct?

  19. logynklode
    • 2 years ago
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    if i wrote exactly what you just put down ill be correct?

  20. hartnn
    • 2 years ago
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    idk how your teacher / system demands the answer, but any of these 2 answers are complete and correct: 1) x= 90+360n , n=1,2,3,..... 2) x=90,450,810,..

  21. hba
    • 2 years ago
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    Whats The Range ? I think It Would Be 0 to 180

  22. logynklode
    • 2 years ago
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    thanks

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