• Trigonometry and Angle Concepts

  • Angle Measurement and Trigonometric Foundations

    • Angle measures and radian concepts

    • Angular and linear speeds

    • Unit circle

    • Bearing trigonometry

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• Trigonometric Functions and Graphs

  • Trigonometric Function Graphs

    • Graphing sine and cosine functions

    • Writing sine and cosine equations

    • Sinusoidal motion and modeling

    • Graphing tangent, cotangent, secant, and cosecant

    • Writing trigonometric equations from graphs

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• Trigonometric Identities and Equations ​

  • Advanced Trigonometric Relationships

    • Trigonometric identities

    • Sum, difference, double-angle, and half-angle identities

    • Solving basic trigonometric equations

    • Solving trigonometric equations using factoring and identities

    • General solutions for trigonometric equations

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• Trigonometric Applications

  • Solving Triangles

    • Law of Sines

    • Law of Cosines

    • Word problem applications

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• Conic Sections

  • Conic Graphs and Equations

    • Parabolas

    • Ellipses

    • Hyperbolas

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• Vectors and Matrices

  • Linear Algebra Concepts

    • Matrix operations

    • Matrix applications

    • Vector concepts

    • Vector dot product

    • Vector applications

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• Parametric and Polar Equations

  • Alternative Coordinate Systems

    • Parametric equations

    • Parametric word problems

    • Polar equations

    • Polar graphing

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• Complex Numbers

  • Complex Plane and Advanced Operations

    • Complex plane representation

    • Converting complex forms

    • De Moivre’s Theorem

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• Sequences and Series

  • Patterns and Mathematical Series

    • Arithmetic series

    • Geometric series

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• Advanced Algebra Concepts

  • Higher-Level Algebra Tools

    • Binomial theorem

    • Partial fractions