Topic 3: Circular functions and trigonometry

Trigonometric Ratios

1. Trigonometric ratios for 30°, 45° and 60°
2. Trig ratios for multiples of 30°, 45° and 60°

Trigonometric Graphs and Transformations

1. Trigonometric graphs
2. Translations of trig graphs
3. Reflections of trig graphs
4. Stretches of trig graphs
5. Combining transformations
6. Exam Questions - Trigonometric graphs and transformations

Applications of Trigonometry

Circular functions

Trigonometric Equations

1. Quadrant rule to solve trig equations
2. Trig equations with different ranges
3. Trig equations with multiple angles
4. Trig equations that factorise

Trigonometric Identities

1. Using the identities: tanθ ≡sinθ/cosθ and sin²θ+cos²θ ≡1
2. Using the identities: cos(θ) ≡ cos(-θ), sin(θ) ≡ -sin(-θ)
3. Solving equations using identities
4. Exam Questions - Trigonometric identities

Inverse trigonometric functions

1. Inverse trigonometric functions - arcsin x, arccos x, arctan x
2. Examples using Inverse trigonometric functions