Australia (NSW) · Mathematics · Year 10 — Trigonometry (sample marking key)
Free sample exam-style trigonometry questions for teachers exploring AI question-sheet marking. Download the PDF answer key or open the interactive demo.
Q1. In a right triangle, sin θ = 3/5. Find cos θ.
Answer: cos θ = 4/5
Q2. A ladder 5 m long leans against a wall with angle 60° at the ground. How high up the wall?
Answer: h = 5 sin 60° ≈ 4.33 m
Q3. Solve for x: 2 cos x = 1, 0° ≤ x ≤ 180°.
Answer: x = 60° or x = 300° (principal in range: 60°)