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Vestigial trigonometry functions

There’s probably a good chance that you’ve used the three most commonly studied trig functions:

Sine, Cosine, and Tangent.

Etymologically, the word Sine is derived from the ancient Sanskrit word for chord, and is used to represent the ratio of the opposite side to the hypotenuse in a right angle triangle. The Cosine is the ratio of the adjacent to the hypotenuse, and the Tangent is the ratio of the opposite side to the adjacent.

Img: Geek3
The Sine and Cosine functions are closely related; they are similar, simply being phase translated 90° (π/2 radians).

In addition to the three common trig functions, you might have also been taught about their reciprocals:

Secant, Cosecant, and Cotangent.

Sine is opposite over hypotenuse, and Cosecant is hypotenuse over opposite.

Cosine is adjacent over hypotenuse, and Secant is hypotenuse over adjacent.

Tangent is opposite over adjacent, and Cotangent is adjacent over opposite.

Have you heard of these?

There are, however, whole families of additional trig functions you might never have heard about. These include:

Versine, Vercosine, Coversine, Covercosine, Exsecant, Excosecant, Haversince, Havercosine, Hacoversine, Hacovercosine.

Vestigial trigonometry functions

There’s probably a good chance that you’ve used the three most commonly studied trig functions:

Sine, Cosine, and Tangent.

Etymologically, the word Sine is derived from the ancient Sanskrit word for chord, and is used to represent the ratio of the opposite side to the hypotenuse in a right angle triangle. The Cosine is the ratio of the adjacent to the hypotenuse, and the Tangent is the ratio of the opposite side to the adjacent.

Img: Geek3
The Sine and Cosine functions are closely related; they are similar, simply being phase translated 90° (π/2 radians).

In addition to the three common trig functions, you might have also been taught about their reciprocals:

Secant, Cosecant, and Cotangent.

Sine is opposite over hypotenuse, and Cosecant is hypotenuse over opposite.

Cosine is adjacent over hypotenuse, and Secant is hypotenuse over adjacent.

Tangent is opposite over adjacent, and Cotangent is adjacent over opposite.

Have you heard of these?

There are, however, whole families of additional trig functions you might never have heard about. These include:

Versine, Vercosine, Coversine, Covercosine, Exsecant, Excosecant, Haversince, Havercosine, Hacoversine, Hacovercosine.

Sep 28, 2023, 04:09

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Sep 28, 2023, 06:50

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