Trigonometric Equations...2

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Mar 9, 2022.

  1. nycmathguy

    nycmathguy

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    Solve for x.

    sin (2x) + cos (3x) = 1
     
    nycmathguy, Mar 9, 2022
    #1
  2. nycmathguy

    MathLover1

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    sin (2x) + cos (3x) = 1

    Graph each side of the equation. The solution is the x-value of the point of intersection.
    [​IMG]

    cos^3(x) - 3 sin^2(x) cos(x) + 2 sin(x) cos(x) = 1

    upload_2022-3-9_18-48-17.gif

    x≈2πn
    x≈0.45138289+2πn
    x≈3.69923776+2πn
    x≈4.5016604+2πn

    for any integer n
     
    MathLover1, Mar 10, 2022
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    I don't understand what you did here.
     
    nycmathguy, Mar 10, 2022
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