Trig

Find the exact value of cot(-pi/6).

I don't have a lot of work for this one all I have is 30 I guess that was suppose to be the reference angle.

answer .58

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  1. You are close.
    -pi/6 radians = -30º

    so what you are really looking for is 1/tan(-30)
    So you are in the fourth quadrant where the tangent is negative

    In another post to you I pointed out the 30,60,90 triangle,
    from that we know that tan(30) = 1/√3
    so tan(-30) = -1/√3
    and cot(-30) = -√3

    so cot(-pi/6) = -√3

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