Trigonometric Ratios
Trigonometric ratios are ratios of the lengths of the right-angled triangle. These ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle.
- Sine Function: Sine ratio for the given angle θ in a right-angled triangle is defined as the ratio of lengths of its opposite side to its hypotenuse. i.e.,
Sin θ = AB/AC
- Cosine Function: Cosine ratio for the given angle θ in a right-angled triangle is defined as the ratio of lengths of its adjacent side to its hypotenuse. i.e.,
Cos θ = BC/AC
- Tangent Function: Tangent ratio for the given angle θ in a right-angled triangle is defined as the ratio of lengths of its opposite side to its adjacent. i.e.,
Tan θ = AB/BC
- Cotangent Function: Cotangent ratio for the given angle θ in a right-angled triangle is defined as the ratio of lengths of its adjacent side to its opposite. It’s the reciprocal of the tan ratio. i.e.,
Cot θ = BC/AB = 1/Tanθ
- Secant Function: Secant ratio for the given angle θ in a right-angled triangle is defined as the ratio of lengths of its Hypotenuse side to its adjacent. i.e.,
Sec θ = AC/BC
- Cosecant Function: Cosecant ratio for the given angle θ in a right-angled triangle is defined as the ratio of lengths of its hypotenuse side to its opposite. i.e.,
Cosec θ = AC/AB
Sin Theta Formula
Trigonometry, a branch of mathematics, is a powerful tool that helps us understand the relationships between the angles and sides of triangles. One of the fundamental concepts in trigonometry is the sine function, often represented as sin(θ), where θ is an angle.
This article will delve into the sin theta formula and its applications.