arc cosine

Angle-finding trig function

Arc cosine is the inverse of the cosine function—given a value between -1 and 1, it returns the angle whose cosine equals that value.

Written as arccos or cos⁻¹, it's fundamental in trigonometry for finding angles from ratios: The arc cosine of 0.5 is 60 degrees.

The output ranges from 0 to 180 degrees (or 0 to π radians).

Related

trigonometry · unit circle · right triangle · principal value · range · mathematics · quadrants · secant · inverse functions · domain · real numbers · law of cosines · polar coordinates · complex plane · Euler's formula · scientific calculator · computer graphics · signal processing

Opposites
inverse vs. direct trigonometric function

arc cosinecosine

Ratio in triangle math

cos

inverse trigonometric function type

arc cosinearcsine

Angle-recovering trig function

arcsin · arctangent · arctan · arccot

Family

arc, cosine, arcs, arced, arcing, arcuate, arcade, arch, arched

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Abstract · Rated G