Mathematics: Analysis and Approaches · Topic 3: Geometry and trigonometry

SL3.5 — The unit circle and exact values

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. The unit circle definition

   Define sine, cosine and tangent from a point moving round the unit circle.

2. Exact values

   Know the exact ratios of the special angles and their multiples.

3. Symmetry across the quadrants

   Relate angles in different quadrants to first-quadrant values.

4. A line through the origin

   Connect the gradient of a line to the angle it makes with the x-axis.