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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] [2] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The presidency of William Henry Harrison, who died 31 days after taking office in 1841, was the shortest in American history. [ 6 ] Franklin D. Roosevelt served the longest, over twelve years, before dying early in his fourth term in 1945. He is the only U.S. president to have served more than two terms. [ 7 ]
The square root of 6 is the positive real number that, when multiplied by itself, gives the natural number 6. It is more precisely called the principal square root of 6, to distinguish it from the negative number with the same property. This number appears in numerous geometric and number-theoretic contexts. It can be denoted in surd form as ...
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6 is the atomic number of carbon. [55] Carbon-12, its most stable isotope, has six protons, six nuetrons, and six electrons. The sixfold symmetry of snowflakes arises from the hexagonal crystal structure of ordinary ice. [56] A hexamer is an oligomer made of six subunits.
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Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including ...