## How to use the ASIN function

**What is the ASIN function?**

The ASIN function calculates the arcsine of a number. The angle is in radians and is between -pi/2 to pi/2.

**What is the SINE function?**

The sine is a trigonometric function that relates an angle Î¸ in a right triangle to the ratio of the length of the side opposite the angle and the length of the longest side (hypotenuse) of the triangle. A right triangle has one angle that measures 90Â° or Ï€/2 radians which is approximately 1.5707963267949 radians.

The SIN function calculates the ratio between the opposite side and the hypotenuse.

**What is a right triangle?**

A right triangle is a type of triangle that contains one internal angle measuring 90 degrees or Ï€/2 radians (a right angle).

**What are radians?**

Radians are a unit used to measure angles. An angle of 1 radian has an arc length equal to the circle's radius.

**What is the the arcsine of a number?**

The ASIN function calculates the the angle is in radians based on the ratio between the opposite side and the hypotenuse, it is often displayed as SIN^{-1} in scientific calculators.

**What is the relationship between the number pi and radians?**

Radians measure angles by the length of the arc they make in a circle rather than degrees. The full circumference of any circle is 2Ï€ multiplied by the circle's radius (2Ï€r).

Since the circumference goes all the way around a circle, that means the full circle measures 2Ï€ radians. Half a circle would be Ï€ radians (half of 2Ï€). A quarter circle is 2Ï€/4 = Ï€/2 radians. An eighth of a circle is 2Ï€/8 = Ï€/4 radians.

Excel has a function that returns the number pi:Â PI function

**What is an arc?**

An arc is a curved segment of a circle's circumference, it is a portion of the circle's curve, defined by two endpoints.

In other words, an arc is formed by two radii intersecting the circumference and the enclosed edge between them.

**What is a circle's radius?**

The radius of a circle is the distance from the center point to any point on the circle's edge or circumference.

**What is radii?**

The plural form of the word "radius".

**What is the radius of a circle?**

The radius of a circle is the distance from the center point to any point on the circle's edge or circumference.

**What are degrees?**

Degrees are a unit used to measure angles. It is based on dividing a full circle into 360 equal parts. Degrees are divided into fractional parts like minutes and seconds for more precision.

**What is the relationship between radians and degrees?**

The circumference of a circle is 360 degrees or 2Ï€ radians.

360 degrees = 2Ï€ radians

which is

degrees = radians x (180 / Ï€)

Excel has two functions for converting between radians and degrees:Â RADIANSÂ |Â DEGREES

## ASIN function Syntax

ASIN(*number*)

## ASIN function Arguments

number |
Required. The number must be from -1 to 1. |

## ASIN function example

=ASIN(B3)

### Comments

Use the DEGREES function to convert radians to degrees.

Recommended articles

What is the DEGREES function? The DEGREES function calculates degrees based on radians. What is degree? Degrees are a unit […]

### Functions in 'Math and trigonometry' category

The ASIN function function is one of many functions in the 'Math and trigonometry' category.

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