# MATH TRIGONOMETRY

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The only way to learn *MATHEMATICS* is to do *MATHEMATICS*

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**Trigonometry**, the
branch of mathematics concerned with specific functions
of angles and their application to calculations. There are
six functions of an angle commonly used in trigonometry. Their names and
abbreviations
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec),
and cosecant (csc).

**Trigonometry**, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations

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The first use of the idea of **‘sine’ **in the way we use it today was in the work *Aryabhatiyam *by Aryabhata, in A.D. 500. Aryabhata used the word *ardha-jya *for the half-chord, which was shortened to *jya *or *jiva *in due course. When the *Aryabhatiyam*was translated into Arabic, the word *jiva *was retained as it is. The word *jiva *was translated into *sinus, *which means curve, when the Arabic version was translated into Latin. Soon the word *sinus*, also used as *sine*, became common in mathematical texts throughout Europe. An English Professor of astronomy EdmundGunter (1581–1626), first used the abbreviatednotation **‘***sin*’.

The origin of the terms **‘cosine’ **and **‘tangent’ **was much
later. The cosine function arose from the need to compute the sine of the complementary angle.
Aryabhatta called it **kotijya**. The name *cosinus *originated with
Edmund Gunter. In 1674, the English Mathematician Sir Jonas Moore first used the
abbreviated notation **‘***cos*’.

*ardha-jya*

*jya*

*jiva*

*jiva*

*jiva*

*sinus,*

*sinus*

*sine*

*sin*’.

*cosinus*

*cos*’

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