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Find the exact value of cot theda if theda is in standard position and (-7,2) is on the terminal side of Theda

  • Math -

    When an angle is in its standard position, the vertex coincides with the origin, the initial side with the x-axis. If the terminal side passes through (-7,2), then the angle is in the second quadrant.

    For angles in all quadrants, cot(θ)=1/tan(θ).

    Since tan(θ)=2/(-7)=-2/7,
    cot(θ)=1/(-2/7)=-7/2.

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