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Paper 2 · Complex Numbers

For u=713+2213iu=\dfrac7{13}+\dfrac{22}{13}i, find the argument of uu in degrees.

Model answer

72.3 degrees

Also accepted: 72.3, 72 degrees

Explanation: arg(u)=tan1 ⁣(227)72.3\arg(u)=\tan^{-1}\!\left(\dfrac{22}{7}\right)\approx72.3^\circ.

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q4

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