Argand diagram inquiry
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On an Argand diagram a complex number and its reciprocal are perpendicular.
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Inquiry Maths
On an Argand diagram a complex number and its reciprocal are perpendicular.
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Think – Pair – Share
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On an Argand diagram a complex number and its reciprocal are perpendicular.
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Inquiry Maths
Link to the Regulatory Cards
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Reciprocal
Several numbers are shown on the Argand diagram.
The circle has a radius 1 and centre at the origin.
Which of these numbers is the reciprocal of F?
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Generalisation
Inquiry Maths
Complex number | Modulus | Argument | Reciprocal | Modulus | Argument |
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Inquiry Maths
Inquiry Maths
Complex number | Modulus | Argument | Reciprocal | Modulus | Argument |
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Inquiry Maths
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Generalisations
The modulus of the reciprocal is ……
The argument of the reciprocal is ……
Proof of the general case
Inquiry Maths
Inquiry Maths