How to use the ACOT function
What is the ACOT function?
The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi.
What is the trigonometric tangent?
The tangent ratio is the opposite side divided by adjacent side of a right triangle.
tangent= opposite / adjacent side
What is the cotangent?
The trigonometric cotangent is a function that relates an angle of a right triangle to the ratio of adjacent side and the opposite side. It is also the inverse of the tangent, cot(θ) = 1/tan(θ).
What is the arccotangent?
The arccotangent is the inverse cotangent also written cot-1. The inverse cotangent is used to find the angle θ when given the cotangent ratio.
What is the angle θ?
The Greek letter theta (θ) is commonly used to represent an unknown angle in a right triangle. The ACOS function returns the angle θ expressed in radians.
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 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
What is the difference between the COT function and the ACOT function?
The COT function calculates the ratio of the adjacent side divided by the opposite side based on an angle expressed in radians.
COT(θ) = opposite / adjacent
The ACOT function calculates the angle expressed in radians based on a number representing the ratio of the adjacent side divided by the opposite side.
ACOT(opposite / adjacent) = θ
1. ACOT Function Syntax
ACOT(number)
2. ACOT Function Arguments
| number | Required. The number is the cotangent of the angle you want. This must be a real number. |
Comments
Use DEGREES function to convert radians to degrees.
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Formula in cell C3:
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Functions in 'Math and trigonometry' category
The ACOT function function is one of 73 functions in the 'Math and trigonometry' category.
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