﻿ Sine: - online calculation, formula - FORMIAX ﻿

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Sine

sin alpha α = b/c

α = angle alpha

a = side "a"

b = side "b"

c = side "c"

WHAT IS IT ?

The sine of an angle (cos) is the ratio of the length of the opposite side to the hypotenuse.

CALCULATION:

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

Enter the opposite side

Enter the hypotenuse

Enter the angle α in degrees

Enter the number of decimal places

EXAMPLE:

Consider a right triangle ABC, where ∠C is the right angle (90°), ∠A is the angle α, and ∠B is the 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 sine of angle α is defined as the ratio of the opposite side to the hypotenuse, i.e., a/c.
Example:

Let:
- opposite side a = 3 cm,
- hypotenuse c = 5 cm.

Calculation:
sin α = a/c = 0.6
So the sine of angle α is 0.6.

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