The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The trigonometry ratios for a specific angle ‘θ’ is given below:
Trigonometric Ratios
Sin θ Opposite Side to θ/Hypotenuse
Cos θ Adjacent Side to θ/Hypotenuse
Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ Adjacent Side/Opposite Side & 1/tan θ
Sec θ Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ Hypotenuse/Opposite Side & 1/sin θ
Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities
Definition
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
The three sides of the right triangle are:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
