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#Engineering

IMCOSH

Excel Functions

Get hyperbolic cosine of complex number

Syntax

EXCEL 
=IMCOSH(complex_num)

Arguments

Parameter Description
complex_num The number to get the hyperbolic cosine of.

Return Value

The hyperbolic cosine of a complex number

Details

The Excel IMCOSH function returns the hyperbolic cosine of a complex number. Given "1+1.5707963267949i" as input, the function returns "-5.4E-15+1.175201i" as output. When the function's output is plotted over the complex plane, the real output along the real axis traces the shape of the COSH function. The imaginary output along the imaginary axis traces the shape of the COS function. The function can be defined using the COSH, COS, SINH, and SIN functions.

Examples

Example 1

The Excel IMCOSH function returns the hyperbolic cosine of a complex number. Given "1+1.5707963267949i" as input, the function returns "-5.4E-15+1.175

EXCEL 
=IMCOSH(COMPLEX(1, PI()/2)) // returns -5.4E-15+1.175201i
Example 2

When the function's output is plotted over the complex plane, the real output along the real axis traces the shape of the COSH function.

EXCEL 
=IMCOSH(COMPLEX(x, 0)) // returns COSH(x)
Example 3

The imaginary output along the imaginary axis traces the shape of the COS function.

EXCEL 
=IMCOSH(COMPLEX(0, y)) // returns COS(y)

See Also

COSH IMSINH