Determining sine, cosine, tangent, cotangent, secant, and cosecant through a right triangle

In order to find the trigonometric functions of arbitrary angle α, we assume a random right triangle ABC, which contains angle α.

Angle C is the right angle.

AC and BC sides are legs of the ABC triangle.

The AB is the hypotenuse of the ABC triangle.

Let us denote angle A as α.

The BC side opposite to angle α will be denoted as a.

The AC side adjacent to angle α will be denoted as b.

Hypotenuse AB will be denoted as c.