Manuals/calci/IMCOT
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IMCOT(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 COTAN 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 cot(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 cot(x+iy)=(sin(2x)+isinh(2y))/(cosh(2y)-cos(2x))}
Examples
IMCOT(ComplexNumber)
- ComplexNumber is any complex number.
| IMCOT(ComplexNumber) | Value |
| IMCOT("6+4i") | -0.0003602042160073492-i1.0005662583935644 |
| IMCOT("6-8i") | -1.207666770520797e-7+i1.000000189926516 |
| IMCOT("10") | 1.54235104535692+i0 |
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References