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The trigonometric functions sine, cosine, and tangent were not invented by a single person. They have been developed and studied by various mathematicians over centuries, with contributions from ancient civilizations such as the Babylonians, Greeks, and Indians.

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4mo ago

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What did the Hindus and the Arabs contribute to the field of trigonometry?

In India, the Hindus made further advances during and after the fifth century. These advances included the construction of some early trigonometric tables and, more important, the invention of a new numbering system that made calculating much simpler. Hindu mathematicians based their version of trigonometry on variants of the sine function. The Hindu system led not only to the sine function, but to the cosine, tangent, and other familiar trigonometric functions we use today.During their centuries of contact with the Greeks and Hindus, Arabic mathematicians adopted many of their mathematical discoveries. Among prominent Arabic mathematicians who helped translate Hindu mathematical texts or introduced Hindu mathematics to the Arabs were al-Battani (c. 850-929), Abu al-Wafa (940-998), and al-Biruni (973-?). Al-Battani adapted Greek trigonometry and astronomical observations to make them more useful. Al-Biruni was among the first to use the sine function in astronomy and geography, and Abu al-Wafa helped apply spherical trigonometry to astronomy, among other important contributions.


What is the significance of the cosine infinite product in mathematical analysis?

The cosine infinite product is significant in mathematical analysis because it provides a way to express the cosine function as an infinite product of its zeros. This representation helps in understanding the behavior of the cosine function and its properties, making it a useful tool in various mathematical applications.


What contributions did Abraham de Moivre make to the field of mathematics?

Abraham de Moivre made significant contributions to the field of mathematics, particularly in the areas of probability theory and trigonometry. He is best known for his work on the normal distribution and his formula for calculating the cosine of an angle in terms of complex numbers. De Moivre's theorem, which relates complex numbers to trigonometry, is still widely used in mathematics today.


Related Questions

What are the trigonometric functions?

sine, cosine, tangent, cosecant, secant and cotangent.


What is difference of using sine to cosine and tangent?

They are different trigonometric functions!


What are the six trigonometric functions?

Sine Cosine Tangent ArcSine ArcCosine ArcTangent


How do you find theta for right triangle?

You can use your trigonometric functions (sine, cosine, and tangent).


What are the six trigonometric functions of special angles?

sine, cosine, tangent, cosecant, secant and cotangent.


What are the trigonometric function of an acute angle?

The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).


Is it possible to model everyday sounds and speech with trigonometric functions like sine cosine tangent cosecant secant or cotangent?

Yes, but only sine or cosine will suffice.


What does sin cos and tan?

Not sure what the question means. These are abbreviations for the three primary trigonometric functions of angles: sine, cosine and tangent.


What are the basic primitive functions?

The basic primitive functions are constant function, power function, exponential function, logarithmic function, trigonometric functions (sine, cosine, tangent, etc.), and inverse trigonometric functions (arcsine, arccosine, arctangent, etc.).


Which trigonometric functions are even?

Cosine and secant are even trig functions.


How do you solve tangent cosine tangent-cosine.?

It isn't clear what you want to solve for. To solve trigonometric equations, it often helps to convert other angular functions (tangent, cotangent, secant, cosecant) into the equivalent of sines and cosines. However, the details of course depend on the specific case.


What is a reciprocal trig function?

A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.