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 θ 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 90° or π/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 π/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 2π radians. Half a circle would be π radians (half of 2π). A quarter circle is 2π/4 = π/2 radians. An eighth of a circle is 2π/8 = π/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 / π)
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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