Manuals/calci/IMCOSH
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IMCOSH(ComplexNumber)
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ComplexNumber} is any complex number of the form x+iy.
Description
- This function gives the hyperbolic cosine (cosh) value of a complex number.
- Consider the complex number in the form of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x+iy} .
- x & y are the real numbers.
- 'i' is the imaginary unit Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
- Also x is called the real part & y is the imaginary part of a complex number.
- COMPLEX is the function used to convert Real & Imaginary numbers in to a complex number.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cosh(ix)=\frac{e^{ix}+e^{-ix}}{2} = Cos(x)}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle cosh(x+iy)} is defined by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle cosh(x+iy)=(cosh(x).cos(y))+i.(sinh(x).sin(y))}
Examples
IMCOSH(ComplexNumber)
- ComplexNumber is any complex number.
| IMCOSH(ComplexNumber) | Value |
| IMCOSH("7+4i") | -358.4039322400531-i414.9670103107624 |
| IMCOSH("7-8i") | -79.78014715292208-i542.481078316949 |
| IMCOSH("3") | 10.067661995777764+i0 |
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References