Trigonometric ratios in right triangles

 In a triangle, if any one angle is a right angle ( that is a 90 degree angle) then the triangle is called right triangle.

A triangle has three sides, the longest side of the triangle is opposite of right angle called Hypotenuse, and  the other two sides including the right angle are called as its legs or base and the Perpendicular.

The ratios of the sides of a right triangle are called trigonometric ratios.

Three basic common are trigonometric ratios are the sine(sin), cosine(cos) and tangent(tan).

Let we take a right triangle ABC, Here ∠CAB or ∠A is an acute angle.
The position of the side BC with respect to angle A, it faces ∠A, we call it the side opposite to angle A.

AC is the hypotenuse, and the side AB is part of ∠A so, we call it is side adjacent of angle A.

For any right triangle there are six trigonometric ratios.

The trigonometric ratios of  any right triangle ABC of angle A are present as follows,

                          (1)Sine(Sin), 
                          (2)Cosine(Cos)
                          (3)Tangent(Tan)
                          (4)Cosecant(Cosec)
                          (5)Sec(Sec)
                          (6)Cotangent(Cot)

         Here are the formula’s for six trigonometric ratios.