Perplex
  • Lessons
  • Problems
  • Speed Run
  • Practice Tests
  • Skill Checklist
  • Review Videos
  • All Content
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    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:

    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.

    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

    The video will automatically pause when it reaches a problem.

    1+cot²θ=cosec²θ

    AHL 3.9

    If we take the identity sin2θ+cos2θ=1 and divide through by sin2θ we find

    1+cot2θ=cosec2θ📖


    Example

    Show that 1+cot2θ1​=sin2θ.


    Using the new identity:

    1+cot2θ1​=cosec2θ1​


    But cosecθ1​=sinθ, so cosec2θ1​=sin2θ.

    1+cot²θ=cosec²θ

    AHL 3.9

    If we take the identity sin2θ+cos2θ=1 and divide through by sin2θ we find

    1+cot2θ=cosec2θ📖


    Example

    Show that 1+cot2θ1​=sin2θ.


    Using the new identity:

    1+cot2θ1​=cosec2θ1​


    But cosecθ1​=sinθ, so cosec2θ1​=sin2θ.

    Unit circleTrig functionsTrig equationsIdentitiesHL functionsHL Identities