Trigonometric Functions and Periodic Motion · Geometry and Trigonometry

The Unit Circle and Radians

Defining trigonometric ratios for any angle and transitioning from degrees to radian measure for calculus applications.

Key Questions

  1. 1Why is radian measure considered a more natural unit for mathematics than degrees?
  2. 2How does the unit circle allow us to extend sine and cosine to negative and obtuse angles?
  3. 3What is the geometric relationship between the tangent line and the unit circle?

ACARA Content Descriptions

AC9MFM09
Year: Year 12
Subject: Mathematics
Unit: Trigonometric Functions and Periodic Motion
Period: Geometry and Trigonometry

Suggested Methodologies

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