Arcsine table

y	x = arcsin(y)
	degrees	radians
-1	-90°	-π/2
-0.8660254	-60°	-π/3
-0.7071068	-45°	-π/4
-0.5	-30°	-π/6
0	0°	0
0.5	30°	π/6
0.7071068	45°	π/4
0.8660254	60°	π/3
1	90°	π/2

What is the arcsine of 0 ?

arcsin 0 = ?

The arcsine is the inverse sine function.

Since, sin 0 = sin 0º = 0

The arcsine of 0 is equal to the inverse sine function of 0, which is equal to 0 radians or 0 degrees:

arcsin 0 = sin^-1 0 = 0 rad = 0º

What is the arcsine of 1 ?

arcsin 1 = ?

The arcsine is the inverse sine function.

Since, sin π/2 = sin 90º = 1

The arcsine of 1 is equal to the inverse sine function of 1, which is equal to π/2 radians or 90 degrees:

arcsin 1 = sin^-1 1 = π/2 rad = 90º

Arcsin of infinity

What is the arcsine of infinity and minus infinity?

arcsin(∞) = ?

The arcsine is the inverse sine function.

Since x can be in the range of [-1,1], arcsin(x) is undefined outside the range of [-1,1].

So the limit of arcsine of x when x is approaching infinity is undefined:

Graph of arcsin(x)

Graph of arcsine of x:

Derivative of arcsin

What is the derivative of the arcsine function of x?

The derivative of the arcsine function of x is equal to 1 divided by the square root of (1-x²)

Integral of arcsin

What is the integral of the arcsine function of x?

The indefinite integral of arcsine function of x is:

Sin of arcsin x | arcsin of sin x

What is the sine of arcsine of x?

sin( arcsin x ) = ?

What is the arcsine of sine of x?

arcsin( sin x ) = ?

Since arcsin is the inverse function of sine, the sine of arcsine of x is equal to x:

sin( arcsin x ) = x

x has values from -1 to 1:

x∈[-1,1]

Since sine is periodic, the arcsine of sine of x is equal to x plus 2kπ when k is integer:

arcsin( sin x ) = x+2kπ

Cos of arcsin

What is the cosine of arcsine of x?

cos( arcsin x ) = ?

The cosine of arcsine of x is:

x has values from -1 to 1:

x∈[-1,1]

Tan of arcsin

What is the tangnet arcsine of x?

tan( arcsin x ) = ?

The tangent of arcsine of x is:

x has values from -1 to 1:

x∈[-1,1]