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rebeccaskell94

Given the triangle below, what is cot∡B? http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0403_03/image0084e2ec0b0.gif √33/ 4 7•√33/ 33 √33 /7 4•√33/33 I think the Answer is C?

  • one year ago
  • one year ago

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  1. goformit100
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    Use Pythagoras theorem

    • one year ago
  2. mathslover
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    I think that is a) \(\sqrt{33}/4\)

    • one year ago
  3. rebeccaskell94
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    urg I couldn't figure out if it was a or c because I wasn't sure if 4 or 7 should be the denominator

    • one year ago
  4. mathslover
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    cot B = \(\frac{1}{tanB}\) right ?

    • one year ago
  5. ash2326
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    @rebeccaskell94 First step is to find AB we know that using Pythagoras \[BC^2=AB^2+AC^2\] Find AB from here \[\cot =\frac{adjacent}{perpendicular}=\frac1 {\tan}\]

    • one year ago
  6. mathslover
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    tan B = opposite/adjacent opposite = 4 adjacent = ??? We will find adj. by pythagoras theorem

    • one year ago
  7. mathslover
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    \[base^2+perpendicular^2=hypotenuse^2\] Adjacent = \(\sqrt{33}\) hence we have tan B = \(\frac{\sqrt{33}}{4}\)

    • one year ago
  8. mathslover
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    did it help @rebeccaskell94 ?

    • one year ago
  9. rebeccaskell94
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    Yes! Very much so. I'm writing it down now so I remember the basic idea :) Thank you so much!

    • one year ago
  10. mathslover
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    Nice to hear that @rebeccaskell94 :)

    • one year ago
  11. phi
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    See http://www.khanacademy.org/math/trigonometry/v/basic-trigonometry for a video on sin,cos, tan defs using SOHCAHTOA a the co functions are harder to remember!

    • one year ago
  12. mathslover
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    SOH CAH TOA much better sine = opposite / hypotenuse cosine = adj. / hypotenuse tan = opposite / adj. right ?

    • one year ago
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