Trigonometric Exact Values Sine Θ, Cosine Θ And Tan Θ — Interactive Lesson (Ages 14–16)

By the end of this unit, students will be able to:

1. recall and use the exact values of sin⁡θ, cosθ, and tan⁡θ for θ= 0∘, 30∘, 45∘, 60∘, and 90∘;
2. solve problems involving trigonometric functions using these exact values;
3. apply their knowledge to real-world scenarios and geometric problems.

Curriculum Alignment: Key Stage 4: Geometry and Measures

• know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45°, 60°

Designed for ages 14–16 (UK Year 10–11 / US 9th Grade–10th Grade). Aligned to the UK National Curriculum; adaptable to US state standards.