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Indian sine tables were constructed and improved upon by several ancient Indian mathematicians including the authors of Surya Siddhanta and Āryabhaṭa.Earliest sine table is found in Surya Siddhanta and another text is the astronomical treatise Āryabhaṭīya which was composed during the fifth century by the Indian mathematician and astronomer Āryabhaṭa (476–550 CE), for the ...
The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 90°. [1] In the table below, the label "Undefined" represents a ratio If the codomain of the trigonometric functions is taken to be the real numbers these entries ...
Lookup table. In computer science, a lookup table ( LUT) is an array that replaces runtime computation with a simpler array indexing operation, in a process termed as direct addressing. The savings in processing time can be significant, because retrieving a value from memory is often faster than carrying out an "expensive" computation or input ...
Tables of the value of sin θ for varying angles of θ were calculated by an Indian mathematician and astronomer called Madhava. This wasn’t the first time values of sin were calculated but the table is useful for us to look at here. We can see the value of sin θ increasing as θ increases from 3.75 to 90. This makes sense because sine θ is ...
Table of sine are the counted values of angles sine noted in the table from 0° to 360°. Using a table of sine you can make calculations even if not at hand will be the scientific calculator. To find the sine of the angle is sufficient to find the value in the table.
Trigonometry. The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. For example, the derivative of the sine function is written sin′ ( a) = cos ( a ), meaning that the rate of change of sin ( x) at a particular angle x ...
The law of sines in constant curvature K reads as [1] By substituting K = 0, K = 1, and K = −1, one obtains respectively the Euclidean, spherical, and hyperbolic cases of the law of sines described above. Let pK(r) indicate the circumference of a circle of radius r in a space of constant curvature K. Then pK(r) = 2π sinK r.
