Solve Multiple-Angle Equations...2

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Dec 18, 2021.

  1. nycmathguy

    nycmathguy

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    Section 5.3

    Note: I had a real hard time solving this multiple-angle problem. It is not clear to me at all. If wrong, can you solve it in full providing steps as you along?

    Screenshot_20211216-022624_Samsung Notes.jpg

    IMG_20211218_181134.jpg

    IMG_20211218_181206.jpg
     
    nycmathguy, Dec 18, 2021
    #1
  2. nycmathguy

    MathLover1

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    42.

    sec(4x)-2=0
    sec(4x)=2

    general solutions for sec(4x)=2 are

    Radians:
    4x= pi/3+2pi*k
    4x= 5pi/3+2pi*k

    solve for x
    x= pi/12+(pi/2)*k
    x= 5pi/12+(pi/2)*k

    Degrees:
    x=15°+90°*k
    x=75°+90°*k
     
    MathLover1, Dec 19, 2021
    #2
    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    I will do all the odd numbers for this set today.
     
    nycmathguy, Dec 19, 2021
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