What are trigonometric ratios
Answers
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)
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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