# Documentation/How Tos/Calc: Complex Number functions

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Complex Number Functions
FUNCTIONS

## List of Calc Complex Number functions

Complex numbers are a mathematical concept, and have a real and an imaginary part. In Calc, they are represented by text, for example as a + bi or a + bj. The following functions create or manipulate that text.

The representation of the numbers in the text can have up to 15 significant digits. Scientific style is automatically used if needed. The decimal delimiter is always a dot, local style of numbers is not possible inside the text. The text may not contain any blanks.

 COMPLEX Returns a complex number, given real and imaginary parts as numbers. IMABS Returns the absolute value of a complex number. IMAGINARY Returns the imaginary part of a complex number. IMARGUMENT Returns the argument of a complex number. IMCONJUGATE Returns the complex conjugate of a complex number. IMCOS Returns the cosine of a complex number. IMCOSH Returns the hyperbolic cosine of a complex number. IMCSC Returns the cosecant of a complex number. IMCSCH Returns the hyperbolic cosecant of a complex number. IMCOT Returns the cotangent of a complex number. IMDIV Returns the result of dividing one complex number by another. IMEXP Returns e to the power of a complex number. IMLN Returns the natural logarithm of a complex number. IMLOG10 Returns the base-10 logarithm of a complex number. IMLOG2 Returns the base-2 logarithm of a complex number. IMPOWER Returns a complex number raised to a power. IMPRODUCT Returns the product of complex numbers. IMREAL Returns the real part of a complex number. IMSEC Returns the secant of a complex number. IMSECH Returns the hyperbolic secant of a complex number. IMSIN Return the sine of a complex number. IMSINH Returns the hyperbolic sine of a complex number. IMSQRT Returns the square root of a complex number. IMSUB Returns the difference between 2 complex numbers. IMSUM Returns the sum of complex numbers. IMTAN Returns the tangent of a complex number.