Changes

Jump to navigation Jump to search
Line 6: Line 6:  
*This function gives the value of powers of complex number.
 
*This function gives the value of powers of complex number.
 
*DeMoivre's Theorem is a generalized formula to compute powers of a complex number in it's polar form.
 
*DeMoivre's Theorem is a generalized formula to compute powers of a complex number in it's polar form.
*i'is the imaginary unit, <math>i=sqrt(-1</math>.
+
*i'is the imaginary unit, <math>i=\sqrt{-1}</math>
*Then the power of a complex number is defined by <math>(z)^n=(x+iy)^n=r^n*e^{inθ}=r^n(cosnθ+isinnθ)</math> where <math>r=/sqrt(x^2+y^2)</math> and  <math>θ=tan^-1(y/x)</math>, θ∈(is belongs to) (-Pi(),Pi()].  
+
*Then the power of a complex number is defined by <math>(z)^n=(x+iy)^n=r^n*e^{inθ}=r^n(cosnθ+isinnθ)</math> where <math>r=\sqrt{x^2+y^2}</math>. and  <math>θ=tan^-1(y/x)</math>, θ∈(is belongs to) (-Pi(),Pi()].  
 
*This formula is called DeMoivre's theorem of complex numbers.  
 
*This formula is called DeMoivre's theorem of complex numbers.  
 
*We can use COMPLEX function to convert  real and imaginary number in to a complex number.  
 
*We can use COMPLEX function to convert  real and imaginary number in to a complex number.  
writer
6,694

edits

Navigation menu