cot alpha α = a/b

α = angle alpha

a = side "a"

b = side "b"

c = side "c"

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

Let's assume we have a right triangle ABC, where ∠C=90^{o}. Side *a* is adjacent to angle α, side *b* is opposite to angle α, and *c* is the hypotenuse (the longest side of the triangle).

The definition of the cotangent of angle α is:

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

For this example:

**cot α = a/b**

Assume the side lengths are:

- a = 3
- b = 4
- c = 5

- Verify that the triangle is right-angled using the Pythagorean theorem:

a^{2} + b^{2} = c^{2}

3^{2} + 4^{2} = 5^{2}

9 + 16 = 25

Since the equality holds, it is a right triangle.

2. Calculate the cotangent of angle α:

cot α = a/b = 3/4 = 0.75

**cot α = 0.75**

Thus, the cotangent of angle α in this right triangle is 0.75.

YOU MIGHT BE INTERESTED:

COMMENTS: