Question

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

Answer 1

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.