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rudra333 Group Title

a math question

  • one year ago
  • one year ago

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  1. rudra333 Group Title
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    \[\cos ^{-1}(\sin \frac{ 11\pi }{ 6 })\]

    • one year ago
  2. rudra333 Group Title
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    @satellite73

    • one year ago
  3. rudra333 Group Title
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    @satellite73 plz help

    • one year ago
  4. zugzwang Group Title
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    Play with the values for this one... Let \[x = \cos^{-1}(\sin \frac{11\pi}{6})\]and if we get the cosine of both sides, we are left with...\[\cos x = \sin \frac{11\pi}{6}\]perhaps it's simpler from here on in?

    • one year ago
  5. rudra333 Group Title
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    the answer is 2pi/3 ??

    • one year ago
  6. zugzwang Group Title
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    seems like it

    • one year ago
  7. rudra333 Group Title
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    @satellite73

    • one year ago
  8. zugzwang Group Title
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    You're right. Hang on... in general, \[\cos(\frac{\pi}{2} - \theta)=\sin(\theta)\] So \[\sin\frac{11\pi}{6}=\cos \left( \frac{\pi}{2}-\frac{11\pi}{6} \right)\] \[=\cos \left( -\frac{8\pi}{6} \right)\] It would appear \[x=-\frac{4\pi}{3}+2k\pi\] where k is any integer. But since we're talking angles, adding 360 degrees, or 2pi, would give the same angle. Consider doing that here, because that negative angle ain't pretty XD \[x = -\frac{4\pi}{3}+2\pi=\frac{2\pi}{3}\]

    • one year ago
  9. rudra333 Group Title
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    k thanks but this other one is hard \[\tan(\sin ^{-1}-\frac{ 5 }{ 13 }\]

    • one year ago
  10. rudra333 Group Title
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    )

    • one year ago
  11. zugzwang Group Title
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    It's a bit complicated, but think of it this way... the SINE of the angle is -5/13, so what is its TANGENT?

    • one year ago
  12. alanli123 Group Title
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    here's what you do: sine of what angle will equal 5/13? Then you take that angle and take the tan of it.

    • one year ago
  13. rudra333 Group Title
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    but i how do i do that?

    • one year ago
  14. alanli123 Group Title
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    answer is 5/12 by the way

    • one year ago
  15. alanli123 Group Title
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    |dw:1358823550014:dw|

    • one year ago
  16. alanli123 Group Title
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    so... tan of theta is ?

    • one year ago
  17. rudra333 Group Title
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    how did u get 12? and one is negative

    • one year ago
  18. alanli123 Group Title
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    oops didn't catch the negative

    • one year ago
  19. alanli123 Group Title
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    so if its negative then it means the angle is either in the third or fourth quadrant

    • one year ago
  20. alanli123 Group Title
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    however my answer would still be correct if the angle was in the 3rd quadrant

    • one year ago
  21. rudra333 Group Title
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    @zaynahf

    • one year ago
  22. rudra333 Group Title
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    omg still confused

    • one year ago
  23. zaynahf Group Title
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    Im sorry, i dont know how to work this out.

    • one year ago
  24. rudra333 Group Title
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    k :(

    • one year ago
  25. alanli123 Group Title
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    did the problems include restrictions?

    • one year ago
  26. rudra333 Group Title
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    yes

    • one year ago
  27. alanli123 Group Title
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    what were they?

    • one year ago
  28. rudra333 Group Title
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    but that's all the questions says

    • one year ago
  29. alanli123 Group Title
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    ?? so is there or is there no restrictions like 180<theta<270 (for exmaple)

    • one year ago
  30. alanli123 Group Title
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    @satellite73 help!!

    • one year ago
  31. rudra333 Group Title
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    no that is all the question says do u know the answer plz i am confused i will just do others if u don't know this

    • one year ago
  32. alanli123 Group Title
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    alright... shoot gimme another question

    • one year ago
  33. rudra333 Group Title
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    it is k i am doing graphing

    • one year ago
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