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simplify (cos4x-cos2x)/(sin4x+sin2x) the answer choices are : cotx, tanx, cotxtanx, or 1

  • Math -

    let x be 45 deg

    (cos180-cos90)/(sin180+sin90)=-1/(1)=-1

    so none of the answers are correct, as ctn(45), tan(45), ctn(45)*tan(45), or 1 are not equal to -1

    another angle: let x be 30 deg
    (cos120-cos60)/(sin120+sin(60)=(-.5-.5)/(.866+.866)=-.577
    lets check given answers:
    ctn30=1.73
    tan30=.577
    ctn30*tan30=1
    1
    none of these are equal to -.577

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