cosecant etymology

Etymology

• The word "cosecant" comes from the Latin phrase "cosecans", which means "co-cutting" or "co-dividing".
• It is derived from the Latin prefix "co-", meaning "with" or "together", and the verb "secare", meaning "to cut".
• The term was coined by the German mathematician Edmund Gunter in 1620.

Meaning

• The cosecant of an angle is the ratio of the hypotenuse of a right triangle to the side opposite the angle.
• It is the reciprocal of the sine of the angle.
• In other words, cosecant(θ) = 1 / sin(θ).

Origin

• The concept of the cosecant was first developed by ancient Greek mathematicians, such as Euclid and Hipparchus.
• However, the term "cosecant" was not introduced until the 17th century by Gunter.
• Gunter used the cosecant to simplify trigonometric calculations, particularly in navigation and surveying.

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