Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.
-cot(n · 180°)
A)0
B)1
C)-1
D)Undefined

Question

Quizplus · Accepted Answer

Coterminal angles are angles that share the same initial and terminal sides but differ in the amount of rotation by integer multiples of $360^\circ$ or $2\pi$ radians. The expression "cot(n · 180°)" suggests we are looking at the cotangent of a multiple of $180^\circ$, which is an angle lying on the x-axis. The cotangent function is undefined for angles of $0^\circ$, $180^\circ$, $360^\circ$, etc., because it corresponds to the reciprocal of the tangent function, which is zero at these angles (since tangent represents the ratio of the opposite side to the adjacent side in a right triangle, and at these angles, the opposite side is 0). Therefore, the cotangent of any multiple of $180^\circ$ is undefined.

Draw the Given Angle in Standard Position