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Main Topics

  • Angles in standard position, reference angles, coterminal angles

  • Unit circle and special angles (30°, 45°, 60°, 90°)

  • Trigonometric ratios (sine, cosine, tangent) for any angle

  • Sine Law and Cosine Law for non-right triangles

  • Ambiguous case (SSA)

  • Indirect measurement and bearing applications

Key Skills

  • Compute and interpret trigonometric ratios for all quadrants

  • Apply Sine and Cosine Laws to solve triangles

  • Use angles and trigonometry in navigation and surveying

  • Link unit-circle concepts to function behavior

Trigonometry

Summary

This major unit revisits trigonometry from Geometry and expands it. Students study trigonometric ratios for any angle using the unit circle. They learn how to evaluate and graph sine, cosine, and tangent functions, including amplitude, period, and phase shift. Students also apply trigonometry to solve real-world problems involving height, distance, and periodic motion. Understanding these relationships prepares them for the more complex trigonometric identities and equations in Precalculus 12.

Suggested Activities

  • Unit-circle memorization and practice charts

  • Solving triangle word problems (lab measurements)

  • Field project estimating height or distance using angles

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