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

−√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 = 2ππ/6 = 11π/6
You are correct.
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