Six Trigonometric Ratios

Six Trigonometric Ratios

Six Trigonometric Ratios 150 150 SchoolTutoring Academy

In greek ‘Trig’ means triangle and ‘metic’ is for measurement. The Trigonometric rations are used to express relationship between angles and sides of a right triangle ( a triangle with one 90° angle).

The non-right angle is usually designated by a greek letter θ (theta). The sides of the triangle are labeled according to the angles of the triangle.

The side opposite to right angle is designated as hypotenuse.

The side opposite to the angle θ is labeled as opposite side.

The side (other than hypotenuse) next to the angle θ is the adjacent side.

 

 

There are six trigonometric ratios of these three sides:


Sine, Cosine and Tangent are the basic trigonometric ratios. Cosecant, Secant and Cotangent are reciprocals (inverted fractions) of Sine, Cosine and Tangent respectively.

To remember the ratio for basic trigonometric ratios a very common mnemonic SOH CAH TOA is used.The mnemonic stands for:

Sine is Opposite over Hypotenuse

Cosine is Adjacent over Hypotenuse

Tangent is Opposite over Adjacent