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Which of the following are solutions to the given equation in the interval [0,2π)?

−√3sec(x)=csc(x)

Select all that are True.
x=π/6
x=π/3
x=7π/6
x=5π/3
x=4π/3
x=11π/6
x=2π/3
x=5π/6

check my answer:
x=11π/6
x=5π/6
thanks

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1 answer

  1. −√3sec(x)=csc(x)
    -√3/cosx = 1/sinx
    sinx/cosx = -1/√3
    tanx = -1/√3, x must be in quads II or IV
    the angle in standard position would be π/6 , (30°)
    x = π - π/6 = 5π/6
    x = 2π-π/6 = 11π/6

    You are correct.
    Did you do it differently?

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