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In trigonometry, the law of cotangents is a relationship among the lengths of the sides of a triangle and the cotangents of the halves of the three angles. [1] [2]Just as three quantities whose equality is expressed by the law of sines are equal to the diameter of the circumscribed circle of the triangle (or to its reciprocal, depending on how the law is expressed), so also the law of ...
Girls who fell in love with Math (2017) – Career profiles of mathematicians Sun-Yung Alice Chang and Fan Chung. [2] [3] Hidden Figures (2016) – African-American mathematicians Katherine Johnson, Dorothy Vaughan, and Mary Jackson are featured in this film about the early years of the NASA Project Mercury and racial and sexual segregation.
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 ...
Microsoft Math Solver (formerly Microsoft Mathematics and Microsoft Math) is an entry-level educational app that solves math and science problems. Developed and maintained by Microsoft , it is primarily targeted at students as a learning tool.
Although there are more than 100 species of lemurs, the ring-tailed lemur is arguably the most well-known thanks to King Julien in the hit children’s film Madagascar. His need to “move it ...
Abbott Elementary returns from winter break tonight — and the regular crew has got some company. The newest episode, “Volunteers,” will see Abbott’s fellow Philadelphia residents visit for ...
This formula can be derived by partitioning the n-sided polygon into n congruent isosceles triangles, and then noting that the apothem is the height of each triangle, and that the area of a triangle equals half the base times the height. The following formulations are all equivalent:
Don't rely on bloviating pundits to tell you who'll prevail on Hollywood's big night. The Huffington Post crunched the stats on every Oscar nominee of the past 30 years to produce a scientific metric for predicting the winners at the 2013 Academy Awards.