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A transaction authentication number ( TAN) is used by some online banking services as a form of single use one-time passwords (OTPs) to authorize financial transactions. TANs are a second layer of security above and beyond the traditional single-password authentication . TANs provide additional security because they act as a form of two-factor ...
Pythagorean trigonometric identity. The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is.
The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. For example, the derivative of the sine function is written sin′ ( a) = cos ( a ), meaning that the rate of change of sin ( x) at a particular angle x = a is given ...
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has. where e is the base of the natural logarithm, i is the imaginary unit, and ...
Milne-Thomson method for finding a holomorphic function. In mathematics, the Milne-Thomson method is a method for finding a holomorphic function whose real or imaginary part is given. [1] It is named after Louis Melville Milne-Thomson .
Inverse hyperbolic functions. The hyperbolic functions sinh, cosh, and tanh with respect to a unit hyperbola are analogous to circular functions sin, cos, tan with respect to a unit circle. The argument to the hyperbolic functions is a hyperbolic angle measure. In mathematics, the inverse hyperbolic functions are inverses of the hyperbolic ...
A limit which unambiguously tends to infinity, for instance is not considered indeterminate. [2] The term was originally introduced by Cauchy 's student Moigno in the middle of the 19th century. The most common example of an indeterminate form is the quotient of two functions each of which converges to zero. This indeterminate form is denoted by .
Tanning tax. The tanning tax is a ten percent federal excise tax that the U.S. government requires tanning providers to collect on indoor tanning services. Tanning service providers must pay the tax each quarter to the IRS. [1] The ten percent tax must be collected from the client, according to the IRS, similar to the collection of a sales tax.