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Using the usual notations for a triangle (see the figure at the upper right), where a, b, c are the lengths of the three sides, A, B, C are the vertices opposite those three respective sides, α, β, γ are the corresponding angles at those vertices, s is the semiperimeter, that is, s = a + b + c / 2 , and r is the radius of the inscribed circle, the law of cotangents states that
Microsoft Math in Bing app – Math helper as a feature within the Bing mobile app on iOS and Android platforms, released in August 2018 [12] Microsoft Math Solver – Mobile app for iOS (first released in November 2019-No longer available in August 2024.) [ 13 ] and Android (first released in December 2019), [ 14 ] as well as a Microsoft Edge ...
More formulas of this nature can be given, as explained by Ramanujan's theory of elliptic functions to alternative bases. Perhaps the most notable hypergeometric inversions are the following two examples, involving the Ramanujan tau function τ {\displaystyle \tau } and the Fourier coefficients j {\displaystyle \mathrm {j} } of the J-invariant ...
The above formula is known as the shoelace formula or the surveyor's formula. If we locate the vertices in the complex plane and denote them in counterclockwise sequence as a = x A + y A i , b = x B + y B i , and c = x C + y C i , and denote their complex conjugates as a ¯ {\displaystyle {\bar {a}}} , b ¯ {\displaystyle {\bar {b}}} , and c ...
A top Federal Reserve official said Monday that he is leaning toward supporting an interest rate cut when the Fed meets in two weeks but that evidence of persistent inflation before then could ...
The college football bowl schedule doesn't stop for Christmas Eve. San Jose State and South Florida meet in the Hawaii Bowl.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
A Long Island man fatally stabbed his mom on Christmas Eve while she made dinner at their Massapequa home, according to police. Jeremy Ramirez, 27, was booked Saturday in the horrific holiday slaying.
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