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The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector. In complex analysis, the hyperbolic functions arise when applying the ordinary sine and cosine functions to an imaginary angle. The hyperbolic sine and the hyperbolic cosine are entire functions. As a result, the other hyperbolic functions are ...
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. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial ...
Alternately hyperbolic angle is the area of a sector of the hyperbola Some authors call the inverse hyperbolic functions hyperbolic area functions. [ 1] Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. It also occurs in the solutions of many linear differential equations (such as the equation ...
phuen sinh ( Lao: ພື້ນສິ້ນ) or tua sinh ( Thai: ตัวซิ่น ), literally 'the body of the sinh', is the body of the sinh. This part of the sinh is typically not detailed. In particular, it typically only consists of one or two colors. tin sinh ( Lao: ຕີນສິ້ນ ), literally 'the foot of the sinh', is the hem ...
The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.
Angle of parallelism. In hyperbolic geometry, angle of parallelism is the angle at the non-right angle vertex of a right hyperbolic triangle having two asymptotic parallel sides. The angle depends on the segment length a between the right angle and the vertex of the angle of parallelism. Given a point not on a line, drop a perpendicular to the ...
Singh (IPA: / ˈ s ɪ ŋ / SING) is a title, middle name, or surname that means "lion" in various South Asian and Southeast Asian communities. Traditionally used by the Hindu Kshatriya community, [1] it was later mandated in the late 17th century by Guru Gobind Singh (born Gobind Das) for all male Sikhs as well, in part as a rejection of caste-based prejudice [2] and to emulate Rajput naming ...
Sinh may refer to: Hyperbolic sine, abbreviated as sinh, a mathematical function. Sinh (clothing), a traditional women's garment from Southeast Asia. Singh, an Indian title and personal name. Sinhala script (ISO 15924 abbreviation: Sinh)