How Was Sine Derived Methods evolved and people found approximations to trigonometric functions For example in the 7th century AD Bhaskara I produced a formula sin x
If the sin and cos of a and b are known we can find the sin and cos of integer multiples of a a b or a b We can also use the integer multiple formulae to Aryabhata 476 550 AD created a huge set of works called the Aryabhatiya The Aryabhatiya contain the earliest surviving tables of sine values and versine 1 cosine values in 3 75
How Was Sine Derived
How Was Sine Derived
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The modern word sine is derived from the Latin word sinus which means bay bosom or fold is indirectly via Indian Persian and Arabic transmission derived from the Ancient Greeks did not have the sine function their only trigonometric function was the chord which is related to sine by the formula mathrm chd x 2 sin x 2 The first known
The English word sine comes from a series of mistranslations of the Sanskrit jya ardha chord half Aryabhata frequently abbreviated this term to jya or its synonym jiva When Sine The word sine actually comes from a mistranslation of a word which is the origin of our word chord It can be seen that QB is a chord and is twice the length of the sine of q This is because in triangle OPQ sin q Tangent The
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The Greek word may have been derived from the Proto Indo European root sei meaning to bend In mathematics the term sine was first used by an Indian mathematician named It is well known that sine comes from the Latin word sinus meaning a fold or a pocket However its reference to the length of the half chord on the unit circle remains still
Edmund Gunter was the first to use the abbreviation sin in 1624 in a drawing The first use of sin in a book was in 1634 by the French mathematician H rigone while Cavalieri used Si and Oughtred S The Sanskrit word for sine jya or jiva became the foundation of the modern term sine The sine function as a ratio of the length of the opposite side to the hypotenuse in a right triangle
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Methods evolved and people found approximations to trigonometric functions For example in the 7th century AD Bhaskara I produced a formula sin x
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If the sin and cos of a and b are known we can find the sin and cos of integer multiples of a a b or a b We can also use the integer multiple formulae to
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How Was Sine Derived - The Greeks Euclid and Archimedes had the law of cosines and law of sines in their work Often thought of it seems in terms of chords of triangles Here s an example
