Arccos Calculator with Tables & Formulas , Definitions (Inverse Cosine)
Arccos Formulas Tables Calculator
An online Arccos calculator along with formulas and tables.
Arccos table
x | arccos(x) | |
---|---|---|
degrees | radians | |
-1 | 180° | π |
-0.8660254 | 150° | 5π/6 |
-0.7071068 | 135° | 3π/4 |
-0.5 | 120° | 2π/3 |
0 | 90° | π/2 |
0.5 | 60° | π/3 |
0.7071068 | 45° | π/4 |
0.8660254 | 30° | π/6 |
1 | 0° | 0 |
What is the arccos of 0 ?
arccos 0 = ?
The arccosine is the inverse cosine function.
Since, cos 0 = cos 0º = 1
The arccosine of 0 is equal to the inverse cosine function of 0, which is equal to π/2 radians or 90 degrees:
arccos 0 = cos-1 0 = π/2 rad = 90º
What is the arccosine of 1 ?
arccos 1 = ?
The arccosine is the inverse cosine function.
Since, cos 0 = cos 0º = 1
The arccosine of 1 is equal to the inverse cosine function of 1, which is equal to 0 radians or 0 degrees:
arccos 1 = cos-1 1 = 0 rad = 0º
What is the arccos of 2 ?
What is the arccosine of 2 ?
arccos 2 = ?
The arccosine is the inverse cosine function.
Since the cosine function has output values from -1 to 1,
the arccosine function has input values from -1 to 1.
So arccos x is undefined for x=2.
arccos 2 is undefined
What is arccos of cos(x)
Arccosine of cosine of x.
Since cosine is periodic, the arccosine of cosine of x is equal to x plus 2kπ when k is integer number k∈ℤ:
arccos( cos x ) = x+2kπ
What is arccos of sin(x)
Arccosine of sine of x.
The arccosine of sine of x is equal to (when k is integer number k∈ℤ):
arccos( sin x ) = π/2 - arcsin( sin x )
= π/2 - (x+2kπ)
= -x - 2kπ + π/2
= -x + (0.5-2k)π
Arccos derivative
Derivative of arccos(x) function.
The derivative of the arccosine function is equal to minus 1 divided by the square root of (1-x2):
Arccos(x) graph
Graph of function f(x)=arccos(x):
What is cos of arccos(x)
Arccosine of cosine of x.
Since arccosine is the inverse function of cosine, the cosine of arccosine of x is equal to x:
cos( arccos x ) = x
x has values from -1 to 1:
x∈[-1,1]
What is sin of arccos(x)
Sine of arccosine of x.
The sine of arccosine of x is equal to the square root of (1-x2):
x has values from -1 to 1:
x∈[-1,1]
What is tan of arccos(x)
Tangent of arccosine of x.
The tangent of the arccosine of x is equal to:
x has values from -1 to 1:
x∈[-1,1]