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HomeCXC CSEC Additional MathematicsTrigonometry: Identities and Equations
CXC · CSEC · Additional Mathematics

Trigonometry: Identities and Equations
Practice Questions

20 CXC CSEC Additional Mathematics questions on Trigonometry: Identities and Equations, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Trigonometry: Identities and Equations.

Try 2 sample questions on Trigonometry: Identities and Equations

Question 1 · 1 mark · Difficulty 1/3

Which of the following is the correct identity for sin²θ + cos²θ?

  1. 0
  2. 1
  3. 2
  4. tan²θ
Show answer & explanation
✓ Answer: B1
Award 1 mark for recognising the Pythagorean identity sin²θ + cos²θ = 1. A is incorrect — the sum of squares equals 1, not 0. C is incorrect — 2 would only result if sin²θ = cos²θ = 1, which is impossible simultaneously. D confuses this identity with the tan²θ + 1 = sec²θ identity.
Question 2 · 1 mark · Difficulty 1/3

A surveyor in Trinidad is measuring the angle of elevation to the top of a communications tower. If tan θ = 1, what is the value of θ for 0° < θ < 90°?

  1. 30°
  2. 45°
  3. 60°
  4. 90°
Show answer & explanation
✓ Answer: B45°
Award 1 mark for recognising that tan 45° = 1. A is incorrect — tan 30° = 1/√3 ≈ 0.577. C is incorrect — tan 60° = √3 ≈ 1.732. D is incorrect — tan 90° is undefined.
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20 questions · 25 min · free

CXC CSEC Additional Mathematics: Trigonometry: Identities and Equations FAQ

How many CXC CSEC Additional Mathematics questions on Trigonometry: Identities and Equations are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Trigonometry: Identities and Equations for CXC CSEC Additional 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 Additional 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: Identities and Equations practice with other Additional 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: Identities and Equations questions aligned to the official CXC CSEC Additional Mathematics syllabus?
Every question is written against the published CXC CSEC Additional 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: Identities and Equations typically tested on CXC CSEC Additional Mathematics papers?
Trigonometry: Identities and Equations appears across multiple question types on real CXC CSEC Additional 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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