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Bhāskara (c. 600 – c. 680) (commonly called Bhāskara I to avoid confusion with the 12th-century mathematician Bhāskara II) was a 7th-century Indian mathematician and astronomer who was the first to write numbers in the Hindu–Arabic decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's ...
In contrast, by the Lindemann–Weierstrass theorem, the sine or cosine of any non-zero algebraic number is always transcendental. [4] The real part of any root of unity is a trigonometric number. By Niven's theorem, the only rational trigonometric numbers are 0, 1, −1, 1/2, and −1/2. [5]
In the Bible, 666 is the number of talents of gold Solomon collected each year (see 1 Kings 10:14 and 2 Chronicles 9:13). In the Bible, 666 is the number of Adonikam 's descendants who return to Jerusalem and Judah from the Babylonian exile (see Ezra 2:13 ).
Euler's formula states that, for any real number x, one has = + , where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x ("cosine plus i sine").
Their work includes commentaries on the proofs of the arctan series in Yuktibhasa given in two papers, [12] [13] a commentary on the Yuktibhasa ' s proof of the sine and cosine series [14] and two papers that provide the Sanskrit verses of the Tantrasangrahavakhya for the series for arctan, sin, and cosine (with English translation and ...
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Sooner or later, the honorable Starks of Winterfell are always right: Winter is coming… and in our world, with the approaching cold, that means Black Friday, too!
The fixed point iteration x n+1 = cos(x n) with initial value x 0 = −1 converges to the Dottie number. Zero is the only real fixed point of the sine function; in other words the only intersection of the sine function and the identity function is =.