# Trigonometry and Modelling

## Scheme of work: Year 13 A-Level: Pure 2: Trigonometry and Modelling

Students learn how to derive the compound and double-angle formulae through a geometrical proof. They use these formulae to solve quadratic equations in sin, cos and tan of an unknown angle and construct proofs involving trigonometric identities. Later, as learning progresses, they use expressions such as acosθ + bsinθ = Rcos(θ + β) to model real-life situations.

## Trigonometry and Modelling Resources

### Mr Mathematics Blog

#### Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.