This worksheet explores multi-step trigonometry problems, building students' skills in combining geometric reasoning with trigonometric calculations. Each question is designed to deepen understanding and practical application.
Questions 1 and 2 are classic back-to-back right-angled triangle problems.
Students are required to use exact values in questions 3 and 4.
Question 5 consists of an image constructed from 4 connected right angles triangles.
The challenge increases across questions 6, 7 and 8 as images are of triangles within triangles and push learners to think differently again to problem solve.
The progression throughout the worksheet ensures a seamless development from single-step calculations to multi-step reasoning, preparing students for both examination-style questions and real-world applications.