Find the reference angle for -144 degrees.
I'm coming up with 504 degrees, but I think I'm missing a step.
I now think its 36 degrees
Visually it doesn't make sense for an angle to be negative.
However we often measure angles off of some axis, such as the x-axis, and positive angles go around counter-clockwise, while negative angles go around clockwise.
Outside of the context of a Cartesian Coordinate system (x-y plane), negative angles don't generally make sense but:
-144°=360°-144°=216°
Trigonometric Identities for negative angles:
sin(-A) = - sin(A)
cos(-A) = cos(A)
tan(-A) = - tan(A)
cot(-A) = - cot(A)
csc(-A) = - csc(A)
sec(-A) = sec(A)
To find the reference angle for -144 degrees, you first need to determine the equivalent positive angle within one full revolution.
Step 1: Add or subtract multiples of 360 degrees to bring the angle within one full revolution.
-144 degrees + 360 degrees = 216 degrees
Step 2: Since 216 degrees is within one full revolution, you can find the reference angle by subtracting the equivalent positive angle from 180 degrees.
Reference angle = 180 degrees - 216 degrees = -36 degrees
Therefore, the reference angle for -144 degrees is 36 degrees.