posted by Rachal

Find the reference angle for -144 degrees.

I'm coming up with 504 degrees, but I think I'm missing a step.

1. Rachal

I now think its 36 degrees

2. Anonymous

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)

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