Mathematics: Applications and Interpretation · Topic 3: Geometry and trigonometry

AHL3.8 — The unit circle, identities and trigonometric equations

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL3.8.1

   Unit-circle definitions of sine and cosine

   Define cos and sin from the unit circle and see how the graphs are built.

2. AIAHL3.8.2

   Pythagorean identity and tan

   Use cos squared plus sin squared equals one, and tan as sin over cos.

3. AIAHL3.8.3

   The ambiguous case of the sine rule

   Recognise when two triangles fit the given information.

4. AIAHL3.8.4

   Solving trigonometric equations graphically

   Read solutions in a finite interval from a graph.