UNIT5-OBJECTIVE5-EXPONENTIAL FORM OF

A COMPLEX NUMBER

Another way a complex number can be represented is the exponential form of a complex number. It is called the exponential form of a complex number because it involves an exponents of a number e. (remember e2.71828------) namely . The angle is in radians ().Examples1.Write the complex number 6 () in exponential form. there r=6, Since needs to be in radians So 6()=6 2.Write the complex number 8 in exponential form. Since r=8, Convert to radians So 8=8 3.Express -5-8j in exponential form. tan=-8/-5=1.6 (Since 5-8j is in the third quadrant) So -5-8j=9.4340 4.Express 4.6 in polar and rectangular form. (the exponent for e should be 5.7j not 5-7j) r=4.6 =5.7 Which is approximately 3.8397- 2.5332j.

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