Transcription of 7.7 The exponential form - Mathematics resources
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7.7 The exponential form - Mathematics resources
exponential formIntroductionIn addition to the cartesian and polar forms of a complex number there is a third form in whicha complex number may be written - theexponential form . In this leaflet we explain this Euler s relationsTwo important results in complex number theory are known asEuler s relations. These linkthe exponential function and the trigonometric state:Euler s relations:ej = cos +jsin ,e j = cos jsin The derivation of these relations is beyond the scope of thisleaflet. By firstly adding, and thensubtracting, Euler s relations we can obtain expressions for the trigonometric functions in termsof exponential functions.
Solution In each case compare the given number with the standard form z = rejθ to identify the modulus r and the argument θ. a) The modulus and argument …
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