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HomeCXC CSEC MathematicsTrigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings
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Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings
Practice Questions

20 CXC CSEC Mathematics questions on Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings

Question 1 · 1 mark · Difficulty 1/3

A surveyor in Port of Spain stands 50 metres from the base of a building and measures the angle of elevation to the top of the building as 35°. Which expression correctly calculates the height of the building?

  1. 50 × sin 35°
  2. 50 × cos 35°
  3. 50 × tan 35°
  4. 50 ÷ tan 35°
Show answer & explanation
✓ Answer: C50 × tan 35°
Award 1 mark for identifying that tan θ = opposite/adjacent, so height = 50 × tan 35°. A is incorrect — sin relates opposite to hypotenuse. B is incorrect — cos relates adjacent to hypotenuse. D is incorrect — this would give adjacent/opposite.
Question 2 · 1 mark · Difficulty 1/3

A ship leaves Kingston harbour and sails on a bearing of 045°. In which direction is the ship travelling?

  1. North-West
  2. North-East
  3. South-East
  4. South-West
Show answer & explanation
✓ Answer: BNorth-East
Award 1 mark for recognising that bearings are measured clockwise from North, so 045° is 45° East of North, which is North-East. A is incorrect — this would be approximately 315°. C is incorrect — this would be between 090° and 180°. D is incorrect — this would be between 180° and 270°.
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CXC CSEC Mathematics: Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings FAQ

How many CXC CSEC Mathematics questions on Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings typically tested on CXC CSEC Mathematics papers?
Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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