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Title: Multiplication and division of a complex number in trigonometric form
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Multiplication and division of a complex number in trigonometric form
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Multiplication and division of a complex number in trigonometric form
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Let two complex numbers be
given:
z1 r1 (cos 1 i sin 1 ),
z 2 r2 (cos 2 i sin 2 )
Then
z1 z 2 r1 (cos 1 i sin 1 )
r2 (cos 2 i sin 2 )
r1r2 (cos(1 2 ) i sin( 1 2 ))
Run by yourself
Conclusion:
these calculations are
cumbersome, so
multiplication and division
of complex numbers are
best done after translating
them into exponential
form
Title: Multiplication and division of a complex number in trigonometric form
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Multiplication and division of a complex number in trigonometric form
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Multiplication and division of a complex number in trigonometric form