Find Exact Value of Trigonometric Expression...2

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Dec 24, 2021.

  1. nycmathguy

    nycmathguy

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    Section 5.4

    Screenshot_20211221-014441_Samsung Notes.jpg

    IMG_20211224_173725.jpg

    1. Is my answer correct?

    2. Is there a better, faster approach to solving this type of messy problem? If so, can you show me by completely working out 39 step by step?

    Thank you.
     
    nycmathguy, Dec 24, 2021
    #1
  2. nycmathguy

    MathLover1

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    correct

    you already did fastest way

    39.

    [​IMG]

    since tan(9pi/8)=tan(pi/8)

    then tan(9pi)/8)-tan(pi/8)=0

    =>[​IMG]=0

     
    MathLover1, Dec 25, 2021
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  3. nycmathguy

    nycmathguy

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    What do you mean tan(9•pi/8) = tan(pi/8)?

    Why does tan(9pi)/8) - tan(pi/8) = 0?
     
    nycmathguy, Dec 25, 2021
    #3
  4. nycmathguy

    MathLover1

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    tan(9π/8)=tan(π/8+π) = tan (π/8)

    Why does tan(9pi)/8) - tan(pi/8) = 0?-> substitute tan (π/8)
    tan (π/8)- tan(pi/8) = 0
     
    MathLover1, Dec 25, 2021
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  5. nycmathguy

    nycmathguy

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    Just got back from a rainy Coney Island day. Going back tomorrow to make a few recordings of the pier. Let me see if I can do some math before my pain in neck roommate returns.
     
    nycmathguy, Dec 25, 2021
    #5
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