The tangent of an angle is the ratio of its sine to its cosine. For an acute angle of a right triangle, this is equivalent to the ratio of the length of the opposite leg to the length of the adjacent leg, measured in radians

The tangent can be calculated for any angle θ on the unit circle measured from the origin (counterclockwise from the positive x-axis), except at angles where the sine equals 0 (e.g., π/2, -π/2 ).

Syntax

TAN(angle in radians)

For angle_in_radians, specify the radians or the column of radians.

Example

Column

Calculator expression

Result

C1 contains 1

TAN(C1)

1.557407724655

Uses

Trigonometric functions such as tangent can be used to model periodic phenomena. These functions form the foundation for advanced analyses in electrical engineering, digital image processing, radiography, thermodynamics, telecommunications and many other fields in science and technology

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