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 ≤ y ≤ π/2 −90° ≤ y ≤ 90°
arccosine y = arccos x x = cos y −1 ≤ x ≤ 1 0 ≤ y ≤ π 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 < y ≤ π 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 < y ≤ π/2 -90° ≤ y < 0° or 0° < y ≤ 90°
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arccos on calculator, cos inverse calculator online, sine arcsin arctan cosine graphing trigonometry scientific online.
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