Tangent Function Values

Values of the tangent function for some common angles can be learnt using the table added below:

Degrees

Radians

sin(θ)

cos(θ)

tan(θ)

0

0

1

0

30°

π/6

1/2

√3/2

√3/3

45°

π/4

√2/2

√2/2

1

60°

π/3

√3/2

1/2

√3

90°

π/2

1

0

Undefined

The tan function is undefine at 90 degrees because division by zero is not possible. The adjacent side of a right triangle would be zero.

Tangent Function

Tangent Function: Trigonometric function tan(x) is called a tangent function it is one of the main six trigonometric functions and is generally written as tan x. The tangent function is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.

In this article, we will learn about Tangent function definition, Tangent function graph, tangent function values, examples, and others in detail.

Table of Content

  • What is Tangent Function?
  • Tangent Function Formula
  • Tangent Function Graph
  • Tangent Function Values
  • Tangent Function Identities
    • 1. Reciprocal Identity
    • 2. Quotient Identity
    • 3. Pythagorean Identity
    • 4. Addition and Subtraction Formulas
    • 5. Double Angle Identity
    • 6. Half-Angle Identity
  • Tangent Function Domain and Range
    • Domain of Tangent Function
    • Range of Tangent Function
  • Tangent Function Period
  • Properties of Tangent Function
  • Inverse Tangent Function
  • Tangent Function Examples
  • Practice Problems on Tangent Function

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Tangent function, also called the tan(x), is a trigonometric function that takes the ratio of the side opposite to the angle being considered in a right-angled triangle to its adjacent side. We have six trigonometric functions and tan(x) is one of them. Various trigonometric formulas and identities are used in solving trigonometric problems....

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Tangent Function Values

Values of the tangent function for some common angles can be learnt using the table added below:...

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