How to use the TAN function
What is the TAN function?
The TAN function calculates the tangent of an angle in radians.
What is the trigonometric tangent?
The tan is a trigonometric function that relates an angle θ in a right triangle to the ratio of the side lengths of a right triangle.
tan(θ) = opposite / adjacent
What is a right triangle?
A right triangle must have one angle that measures exactly 90° or π/2 radians which is approximately 1.5707963267949 radians.
What is the angle θ?
The Greek letter theta (θ) is commonly used to represent an unknown angle in a right triangle.
What is a radian?
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 the main trigonometric functions?
| Function | Domain (input) | Range (output) |
| sin(x) | All real numbers | (-1, 1) |
| cos(x) | All real numbers | (-1, 1) |
| tan(x) | All real numbers except multiples of π/2 | (-∞, ∞) |
| sec(x) | All real numbers except multiples of π | (1, ∞) U (-∞, -1) |
| csc(x) | All real numbers except integer multiples of π | (-∞, -1) U (1, ∞) |
| cot(x) | All real numbers except integer multiples of π | (-∞, ∞) |
TAN function Syntax
TAN(number)
TAN functionArguments
| number | Required. The radian angle you want to know the tangent of. |
TAN function example
Formula in cell C3:
Use the RADIANS function to convert degrees to radians.
Functions in 'Math and trigonometry' category
The TAN function function is one of 73 functions in the 'Math and trigonometry' category.
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