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]