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Dean
Dean asked in Science & MathematicsMathematics · 4 years ago

My textbook is giving weird answers. csc(2x)-9=0. Find all solutions on interval [0,2pi)?

I already came to the solutions 0.056, 1.515. However my text book is listing those as well as the following: 3.197, 4.647. I can't figure out how those are also solutions. Can someone please expalin? Thank you

3 Answers

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  • Como
    Lv 7
    4 years ago

    csc 2x = 9

    sin 2x = 1/9

    2x = 0•111 , 3•03 , 6•39 , 9•31

    x = 0•056 , 1•515 , 3•197 , 4•655

  • Sqdancefan
    Lv 7
    4 years ago

    The csc(2x) function is periodic with period π, so your answers added to π will also be answers in the interval of interest. (see the source link)

    Source(s): https://www.desmos.com/calculator/lgrjo3k9w4
  • Morningfox
    Lv 7
    4 years ago

    if "x" is a solution, then so is x + pi and x - pi.

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