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Trigonometry was probably developed for use in sailing as a navigation method used with astronomy.[2] The origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and the Indus Valley, more than 4000 years ago.[citation needed] The common practice of measuring angles in degrees, minutes and seconds comes from the Babylonian's base sixty system of numeration. The Sulba Sutras written in India, between 800 BC and 500 BC, correctly computes the sine of (=45°) as in a procedure for "circling the square" (i.e., constructing the inscribed circle).[citation needed]
The first recorded use of trigonometry came from the Hellenistic mathematician Hipparchus[1] circa 150 BC, who compiled a trigonometric table using the sine for solving triangles. Ptolemy further developed trigonometric calculations circa 100 AD.
The ancient Sinhalese in Sri Lanka, when constructing reservoirs in the Anuradhapura kingdom, used trigonometry to calculate the gradient of the water flow. Archeological research also provides evidence of trigonometry used in other unique hydrological structures dating back to 4 BC.[3]
The Indian mathematician Aryabhata in 499, gave tables of half chords which are now known as sine tables, along with cosine tables. He used zya for sine, kotizya for cosine, and otkram zya for inverse sine, and also introduced the versine. Another Indian mathematician, Brahmagupta in 628, used an interpolation formula to compute values of sines, up to the second order of the Newton-Stirling interpolation formula.
In the 10th century, the Persian mathematician and astronomer Abul Wáfa introduced the tangent function and improved methods of calculating trigonometry tables. He established the angle addition identities, e.g. sin (a + b), and discovered the sine formula for spherical geometry:
Also in the late 10th and early 11th centuries, the Egyptian astronomer Ibn Yunus performed many careful trigonometric calculations and demonstrated the formula
.
Indian mathematicians were the pioneers of variable computations algebra for use in astronomical calculations along with trigonometry. Lagadha (circa 1350-1200 BC) is the first person thought to have used geometry and trigonometry for astronomy, in his Vedanga Jyotisha.
Persian mathematician Omar Khayyám (1048-1131) combined trigonometry and approximation theory to provide methods of solving algebraic equations by geometrical means. Khayyam solved the cubic equation x3 + 200x = 20x2 + 2000 and found a positive root of this cubic by considering the intersection of a rectangular hyperbola and a circle. An approximate numerical solution was then found by interpolation in trigonometric tables.
Detailed methods for constructing a table of sines for any angle were given by the Indian mathematician Bhaskara in 1150, along with some sine and cosine formulae. Bhaskara also developed spherical trigonometry.
The 13th century Persian mathematician Nasir al-Din Tusi, along with Bhaskara, was probably the first to treat trigonometry as a distinct mathematical discipline. Nasir al-Din Tusi in his Treatise on the Quadrilateral was the first to list the six distinct cases of a right angled triangle in spherical trigonometry.
In the 14th century, Persian mathematician al-Kashi and Timurid mathematician Ulugh Beg (grandson of Timur) produced tables of trigonometric functions as part of their studies of astronomy.
The mathematician Bartholemaeus Pitiscus published an influential work on trigonometry in 1595 which may have coined the word "trigonometry".
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Can you give a brief history?
A brief history of what? Be more specific. This can't be answered the way it is written.
What is the point of trigonometry?
It is an object with zero dimensions: only a position.
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What is the motto of University of Exeter?
The motto of University of Exeter is 'Lucem sequimur'.
Who was the founder of trigonometry and there algebra and statistics and brief history?
the founder of trigonometry, algebra & calculus is a hindu (india) mathematician BUDHAYANA. =]
Discuss some brief history of trigonometry?
It has been recently discovered (Aug 2017), by researchers at the University of New South Wales, that a 3,700 year old Babylonian tablet, known as Plimpton 332, contained tables of trigonometric ratios. The tablet is approx 1500 years older than the Greek astronomer Hipparchus who has long been regarded as the father of trigonometry. So, with that one discovery, the history of trigonometry has become less brief and its origins have been shifted from Europe to the Middle East. It is not yet clear what else the Babylonians achieved in the intervening 1500 years.
History of the father of trigonometry?
Hipparchus
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brief history of personality
When was A Brief History... created?
A Brief History... was created in 2002.
Brief history of statistics in the philippines?
brief history of philippines
The brief history of librarianship in Ancient world?
the brief history of librarianship
Where can you find a brief history of Serbia?
Wikipedia always has a brief history . you should check that out .
Can you give a brief history?
A brief history of what? Be more specific. This can't be answered the way it is written.
How do you trig 4 degrees at 6 inches long?
Trigonometry is a subject, not a calculation. You cannot trig 4 degrees just as you cannot history 4 degrees!Trigonometry is a subject, not a calculation. You cannot trig 4 degrees just as you cannot history 4 degrees!Trigonometry is a subject, not a calculation. You cannot trig 4 degrees just as you cannot history 4 degrees!Trigonometry is a subject, not a calculation. You cannot trig 4 degrees just as you cannot history 4 degrees!
What was Stephen hawkings most famous book?
A Brief History of Time
History's of trigonometry?
History of trigonometry.The history of trigonometry dates back to the early ages of Egypt and Babylon. Angles were then measured in degrees. History of trigonometry was then advanced by the Greek astronomer Hipparchus who compiled a trigonometry table that measured the length of the chord subtending the various angles in a circle of a fixed radius r. This was done in increasing degrees of 71.In the 5th century, Ptolemy took this further by creating the table of chords with increasing 1 degree. This was known as Menelaus's theorem which formed the foundation of trigonometry studies for the next 3 centuries. Around the same period, Indian mathematicians created the trigonometry system based on the sine function instead of the chords. Note that this was not seen to be ratio but rather the opposite of the angle in a right angle of fixed hypotenuse. The history of trigonometry also included Muslim astronomers who compiled both the studies of the Greeks and Indians.In the 13th century, the Germans fathered modern trigonometry by defining trigonometry functions as ratios rather than lengths of lines. After the discovery of logarithms by the Swedish astronomer, the history of trigonometry took another bold step with Isaac Newton. He founded differential and integral calculus. Euler used complex numbers to explain trigonometry functions and this is seen in the formation of the Euler's formula.The history of trigonometry came about mainly due to the purposes of time keeping and astronomy.
