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Trigonometric and Hyperbolic Functions

Complex numbers, complex functions and complex analysis in general are part of an important branch of mathematics. They find wide application in solving real scientific and engineering problems.

In mathematics, a complex number is a number of the form z = x + iy, where:

  • is the complex variable
  • x and y are real numbers
  • is the imaginary unit, with the propertyi2 = -1.

The real number x is called the real part of the complex number, and the real number y is the imaginary part. Real numbers may be considered to be complex numbers with imaginary part set to zero. That is, the real number x is equivalent to the complex number x + 0i.

At KMP we show how complex numbers can be added, subtracted, multiplied and divided just like real numbers. The next pages show the implementation of trigonometric functions.

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A complex number z = x + iy, where...

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