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One radian is defined as the angle at the center of a circle in a plane that subtends an arc whose length equals the radius of the circle. [6] More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, =, where θ is the magnitude in radians of the subtended angle, s is arc length, and r is radius.
In mathematics, the values of the trigonometric functions can be expressed approximately, as in (/), or exactly, as in (/) = /.While trigonometric tables contain many approximate values, the exact values for certain angles can be expressed by a combination of arithmetic operations and square roots.
These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.
The rad is a unit of absorbed radiation dose, defined as 1 rad = 0.01 Gy = 0.01 J/kg. [1] It was originally defined in CGS units in 1953 as the dose causing 100 ergs of energy to be absorbed by one gram of matter. The material absorbing the radiation can be human tissue, air, water, or any other substance.
Radical 26 or radical seal (卩部) meaning "seal" is one of the 23 Kangxi radicals (214 radicals total) composed of two strokes. It usually transforms as 㔾 when appearing at the bottom of a Chinese character. In the Kangxi Dictionary, there are 40 characters (out of 49,030) to be found under this radical.
In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space.For example, using the convention below, the matrix = [ ]
While many fans urged the American Idol alum to collaborate with Roan or bring the 26-year-old singer on her show to perform a song together, others expressed surprise at Clarkson’s decision to ...
The function is multiplicative (but not completely multiplicative).. The radical of any integer is the largest square-free divisor of and so also described as the square-free kernel of . [2]