What do you mean by Trigonometric ratios?

Trigonometric ratios

Before this , let's understand what trigonometry is.

Trigonometry is a branch of mathematics in which we study the relationship between the sides and angles of a right angled triangle. Trigonometry is made of three words-

• Tri- three
• Gon- angles
• Metry- measurements

In simple terms, trigonometry means measurements of all the three angles of a right angled triangle.

Trigonometric ratios

We have six trigonometric ratios-

Sine, cosine, tangent, cosecant, secant and cotangent.

Consider a right-angled triangle, right-angled at B.

With respect to ∠C, the ratios of trigonometry are given as:

1. sine: Sine of an angle is defined as the ratio of the side opposite(perpendicular side) to that angle to the hypotenuse.
2. cosine: Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.
3. tangent: Tangent of an angle is defined as the ratio of the side opposite to that angle to the side adjacent to that angle.
4. cosecant: Cosecant is a multiplicative inverse of sine.
5. secant: Secant is a multiplicative inverse of cosine.
6. cotangent: Cotangent is the multiplicative inverse of the tangent.

• Sine= perpendicular/ hypotenuse
• Cosine = base/ hypotenuse
• Tangent= perpendicular/ base
• Cosecant = hypotenuse/ perpendicular
• Secant = hypotenuse/ base
• Cotangent= base/ perpendicular