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    IB Math AAHL
    /
    Trig equations & identities
    /

    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:

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    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.

    Trig equations & identities

    Video Reviews

    Watch comprehensive video reviews for Trig equations & identities, 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.

    Unit circleTrig functionsTrig equationsIdentitiesHL functionsHL Identities

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    Tan compound angle identity

    AHL 3.10

    The compound angle identity for tan states that

    tan(A±B)=1∓tanAtanBtanA±tanB​📖


    Example

    Find tan(127π​).


    Notice that 127π​=3π​+4π​, then

    tan(3π​+4π​)    ​=1−tan(3π​)tan(4π​)tan(3π​)+tan(4π​)​ =1−√3√3+1​⋅1+√31+√3​ =−24+2√3​=−2−√3​

    Tan compound angle identity

    AHL 3.10

    The compound angle identity for tan states that

    tan(A±B)=1∓tanAtanBtanA±tanB​📖


    Example

    Find tan(127π​).


    Notice that 127π​=3π​+4π​, then

    tan(3π​+4π​)    ​=1−tan(3π​)tan(4π​)tan(3π​)+tan(4π​)​ =1−√3√3+1​⋅1+√31+√3​ =−24+2√3​=−2−√3​
    Unit circleTrig functionsTrig equationsIdentitiesHL functionsHL Identities