﻿ Tangent: - online calculation, formula - FORMIAX ﻿

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# Tangent

tg alpha α = b/a

α = angle alpha

a = side "a"

b = side "b"

c = side "c"

## WHAT IS IT ?

The tangent of an angle (tg) is the ratio of the length of the opposite side to the adjacent side.

## CALCULATION:

Enter the unit of measure you want to use, e.g., cm

Enter the opposite side

Enter the angle α in degrees

Enter the number of decimal places

## EXAMPLE:

Let's assume we have a right triangle ABC, where ∠C is a right angle (90°), ∠A is angle α and ∠B is angle β. We have the following sides:

• a is the side opposite angle α (opposite to angle α),
• b is the side adjacent to angle α (adjacent to angle α),
• c is the hypotenuse (the longest side, opposite the right angle).

The tangent of angle α is defined as the ratio of the opposite side to the adjacent side:
tan(α) = opposite side/adjacent side = a/b
Example:
Let:

• opposite side a = 3 cm,
• adjacent side b = 4 cm.

Calculation: tan(α) = a/b = 3/4 = 0.75
So the tangent of angle α is 0.75.

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