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  • Perplex
    IB Math AAHL
    /
    Complex Numbers
    /

    Video

    Video Reviews

    Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Complex Numbers

    Video Reviews

    Watch comprehensive video reviews for Complex Numbers, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Cartesian formPolar formDe Moivre

    The video will automatically pause when it reaches a problem.

    Complex Argument

    AHL HL 1.12

    The argument of a complex number is the angle that it forms with the real (x) axis on the complex plane:

    Powered by Desmos

    By noticing a right angled triangle, we can say that

    tan(argz)=ab​🚫

    When a>0:

    argz=arctan(ab​)🚫


    Example

    Find the argument of 1+i.

    arg(1+i)=arctan(11​)=4π​

    Complex Argument

    AHL HL 1.12

    The argument of a complex number is the angle that it forms with the real (x) axis on the complex plane:

    Powered by Desmos

    By noticing a right angled triangle, we can say that

    tan(argz)=ab​🚫

    When a>0:

    argz=arctan(ab​)🚫


    Example

    Find the argument of 1+i.

    arg(1+i)=arctan(11​)=4π​
    Cartesian formPolar formDe Moivre