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 $Cos(x)={\frac {e^{ix}+e^{-ix}}{2}}$;
• $Sin(x)={\frac {e^{ix}-e^{-ix}}{2i}}$ and $i^{2}$=-1.
• So $Cis$ abbreviates $Cos+iSin$.

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

• List of Main Z Functions

• Z3 home