Arccosine Calculator

arccos

In mathematics, the inverse trigonometric functions are the inverse functions of the trigonometric functions.

arccos 0.5 = cos^1 0.5 = 60o 0' 0" = 60o + k×360o (k=..-1,0,1,..) = -300o, 60o, 420o, .. = 1.04719755rad + k×2π (k=..-1,0,1,..) = -1.66666667π, 0.33333333π, 2.33333333π, ..

arccos -0.3 = cos^1 -0.3 = 107o 27' 27.371" = 107.45760312o + k×360o (k=..-1,0,1,..) = -252.54239688o, 107.45760312o, 467.45760312o, .. = 1.87548898rad + k×2π (k=..-1,0,1,..) = -1.40301332π, 0.59698668π, 2.59698668π, ..

y=arccos(x) Graph

Y
(Degrees)
Y
(Radian)
X
180 π -1
150 5π/6 -0.866025
135 3π/4 -0.707107
120 2π/3 -0.5
90 π/2 0
60 π/3 0.5
45 π/4 0.707107
30 π/6 0.866025
0 0 1
Name Usual notation Definition Domain of x for real result Range of usual principal value
(radians)
Range of usual principal value
(degrees)
arcsine y = arcsin x x = sin y -1 ≤ x ≤ 1 -π/2 ≤ yπ/2 -90° ≤ y ≤ 90°
arccosine y = arccos x x = cos y -1 ≤ x ≤ 1 0 ≤ yπ 0° ≤ y ≤ 180°
arctangent y = arctan x x = tan y all real numbers -π/2 < y < π/2 -90° < y < 90°
arccotangent y = arccot x x = cot y all real numbers 0 < y < π 0° < y < 180°
arcsecant y = arcsec x x = sec y x ≤ -1 or 1 ≤ x 0 ≤ y < π/2 or π/2 < yπ 0° ≤ y < 90° or 90° < y ≤ 180°
arccosecant y = arccsc x x = csc y x ≤ -1 or 1 ≤ x -π/2 ≤ y < 0 or 0 < yπ/2 -90° ≤ y < 0° or 0° < y ≤ 90°
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