Difference between revisions of "Manuals/calci/CIS"
Jump to navigation
Jump to search
(Created page with "cis") |
|||
| Line 1: | Line 1: | ||
| − | + | <div style="font-size:30px">'''CIS (Theta)'''</div><br/> | |
| + | *<math>Theta</math> is the angle value. | ||
| + | |||
| + | ==Description== | ||
| + | *This function gives the CIS value. | ||
| + | *CIS is another name for the complex exponential. | ||
| + | *<math>Cis(x)=e^{ix}=Cosx+i Sinx</math>, where <math>Cos</math> is the <math>Cosine</math> function,<math>i</math> is the imaginary unit and <math>Sin</math> is the <math>Sine</math>. | ||
| + | *Also<math> Cos(x)= \frac{e^{ix}+e^{-ix}}{2}</math>;<math>Sin(x)=\frac{e^{ix}-e^{-ix}}{2i}</math> and <math>i^2</math>=-1. | ||
| + | *So "Cis" abbreviates "Cos + i Sin". | ||
Revision as of 14:09, 22 December 2016
CIS (Theta)
- 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 Theta} is the angle value.
Description
- This function gives the CIS value.
- CIS is another name for the complex exponential.
- 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 Cis(x)=e^{ix}=Cosx+i Sinx} , 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 Cos} is the 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 Cosine} function,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} is the imaginary unit and 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 Sin} is the .
- AlsoFailed 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 Cos(x)= \frac{e^{ix}+e^{-ix}}{2}} ;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 Sin(x)=\frac{e^{ix}-e^{-ix}}{2i}} and 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^2} =-1.
- So "Cis" abbreviates "Cos + i Sin".
.