# Arcsin Calculator with Tables & Formulas , Definitions (Inverse Sine)

# Arcsin Formulas Tables Calculator

An online Arcsin calculator along with formulas and tables.

### 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-x^{2})

# 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+*2*k*π

# 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]