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lucky_girl_280

  • 2 years ago

Find x in [−6π, 0] such that cos(x/6) = 1/2

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  1. Mimi_x3
    • 2 years ago
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    \[cos\left(\frac{x}{6}\right) =\frac{1}{2}\] well have you tried it yet

  2. lucky_girl_280
    • 2 years ago
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    yes. it doesnt work

  3. Mimi_x3
    • 2 years ago
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    what have you tried

  4. lucky_girl_280
    • 2 years ago
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    i tried doing cos^-1(1/2) and multiplying by 6

  5. Mimi_x3
    • 2 years ago
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    do you know general solutions?

  6. lucky_girl_280
    • 2 years ago
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    no haha

  7. Mimi_x3
    • 2 years ago
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    \[\cos\left(\frac{x}{6}\right) =\frac{1}{2} => \frac{x}{6} =\cos^{-1}\left(\frac{1}{2}\right) => \frac{x}{6} =\frac{\pi}{3} \]

  8. Mimi_x3
    • 2 years ago
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    are you able to do it now

  9. lucky_girl_280
    • 2 years ago
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    no that didnt work :( but i feel like thats almost right. How did you know it equaled pi/3?

  10. Mimi_x3
    • 2 years ago
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    \[\frac{x}{6} =\frac{\pi}{3} => 3x = 6\pi => x= 2\pi \] it works

  11. lucky_girl_280
    • 2 years ago
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    i didnt accept it lol

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