Quick questions on Modulus-argument form in HSC Mathematics Extension 2: polar form, the principal argument, and the geometry of multiplication and division of complex numbers

Q: What is argument outside the principal range?

When adding arguments the sum may exceed π or fall below -π; add or subtract 2π to return to (-π, π] if the principal value is required.

1short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is argument outside the principal range?

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When adding arguments the sum may exceed

\pi

or fall below

-\pi

; add or subtract

2\pi

to return to

(-\pi, \pi]

if the principal value is required.

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