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| | <div style="font-size:30px">'''IMEXP(z)'''</div><br/> | | <div style="font-size:30px">'''IMEXP(z)'''</div><br/> |
| − | *where 'z' is the complex number. | + | *where <math>z</math> is the complex number. |
| | ==Description== | | ==Description== |
| | *This function gives the exponential of a complex number. | | *This function gives the exponential of a complex number. |
| − | *Here IMEXP(z),where z is the complex number of the form z=x+iy,x&y are real numbers&I is the imaginary unit,i=sqrt(-1). | + | *In <math>IMEXP(z)</math>, <math>z<math> is the complex number of the form <math>z=x+iy</math>, <math>x</math>&<math>y</math> are real numbers & <math>i</math> is the imaginary unit. <math>i=sqrt{-1}</math>. |
| − | *Euler's formula states that e^ix=cosx+isinx, for any real number x and e is the base of the natural logarithm. | + | *Euler's formula states that <math>e^{ix}= cosx+isinx<math>, for any real number <math>x<math> and <math>e</math> is the base of the natural logarithm. |
| − | *The approximate value of the constant e=2.718281828459045 and it is equal to e^1. So the exponential of a complex number is : IMEXP(z)=e^z=e^(x+iy)=e^x.e^iy=e^x.(cosy+isiny). | + | *The approximate value of the constant e=2.718281828459045 and it is equal to <math>e^1</math>. So the exponential of a complex number is : <math>IMEXP(z)=e^z=e^(x+iy)=e^x.e^iy=e^x.(cosy+isiny)=e^x.cosy+ie^x.siny</math>. |
| − | *=e^x.cosy+ie^x.siny. When imaginary part is '0' then it will give the exponent value of the real number. *i.e.IMEXP(z)=EXP(z) when imaginary number (iy) is '0'.
| + | *When imaginary part is '0', it will give the exponent value of the real number. *i.e.IMEXP(z)=EXP(z) when imaginary number (iy) is '0'. |
| − | *We can use COMPLEX function to convert the real and imginary coefficients to a complex number. | + | *We can use COMPLEX function to convert the real and imaginary coefficients to a complex number. |
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| | ==Examples== | | ==Examples== |