### Transcription of The Exponential Form of a Complex Number 10

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The **Exponential** Formof a **Complex** **Number** this Section we introduce a third way of expressing a **Complex** **Number** : the **Exponential** **form** . Weshall discover, through the use of the **Complex** **Number** notation, the intimate connection betweenthe **Exponential** function and the trigonometric functions. We shall also see, using the exponentialform, that certain calculations, particularly multiplication and division of **Complex** numbers, are eveneasier than when expressed in polar **Exponential** **form** of a **Complex** **Number** is in widespread use in engineering and science.'&$%PrerequisitesBefore starting this Section you should.. be able to convert from degrees to radians understand how to use the Cartesian andpolar forms of a **Complex** **Number** be familiar with the hyperbolic functionscoshxandsinhx'&$%Learning OutcomesOn completion you should be able to.

**The Exponential Form** of a Complex Number 10.3 **Introduction** In this Section we introduce a third way of expressing a complex number: **the exponential form**. We shall discover, through the use of the complex number notation, the intimate connection between **the exponential** function and the trigonometric functions. We shall also see, using the ...

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