tg alpha α = b/a

α = angle alpha

a = side "a"

b = side "b"

c = side "c"

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

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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