Manuals/calci/CIS

CIS (Theta)

• $Theta$ is the angle value.

Description

• This function gives the CIS value.
• CIS is another name for the complex exponential.
• $Cis(x)=e^{ix}=Cosx+iSinx$, where $Cos$ is the $Cosine$ function,$i$ is the imaginary unit and $Sin$ is the $Sine$ function.
• Also $Cos(x)={\frac {e^{ix}+e^{-ix}}{2}}$;
• 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 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} abbreviates 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 + i Sin} .

Examples

1. CIS(45) = 0.5253219888177297+i 0.8509035245341184
2. CIS(180) = -0.5984600690578581-i-0.8011526357338304
3. CIS(90.53) = -0.838546204483341+ⅈ0.5448304901036493

See Also

• SIN
• COS

References

Complex Exponential