Find the reference angle for the given angle.
-$432 ^ { \circ }$
A) $72 ^ { \circ }$
B) $18 ^ { \circ }$
C) $108 ^ { \circ }$
D) $162 ^ { \circ }$

Question

Quizplus · Accepted Answer

The reference angle for any angle can be found by determining the angle's smallest positive coterminal angle (an angle that ends at the same position but may have completed more or fewer rotations) and then finding the smallest positive angle that is co-terminal with it within a single 360° rotation. For $432^\circ$, we subtract 360° (a full rotation) to get $432^\circ - 360^\circ = 72^\circ$. This is the angle's smallest positive coterminal angle within a 360° rotation, which is also its reference angle.

Find the Reference Angle for the Given Angle 432∘432 ^ { \circ }432∘

Find the Reference Angle for the Given Angle $432 ^ { \circ }$