Kramizo
Log inSign up free
HomeCIE IGCSE MathematicsTrigonometry: Solution of trigonometric equations in a given interval
CIE · IGCSE · Mathematics

Trigonometry: Solution of trigonometric equations in a given interval
Practice Questions

20 CIE IGCSE Mathematics questions on Trigonometry: Solution of trigonometric equations in a given interval, each with instant feedback and a full examiner-style mark scheme.

⚡ Start Quiz on Trigonometry: Solution of trigonometric equations in a given intervalTry one question

Try 2 sample questions on Trigonometry: Solution of trigonometric equations in a given interval

Question 1 · 1 mark · Difficulty 1/3

Solve the equation sin x = 0.5 for 0° ≤ x ≤ 360°.

  1. x = 30° only
  2. x = 30° and x = 150°
  3. x = 30° and x = 330°
  4. x = 150° and x = 210°
Show answer & explanation
✓ Answer: Bx = 30° and x = 150°
Award 1 mark for both correct solutions. A is incorrect — this gives only the principal value from the calculator, missing the second solution in the second quadrant. C is incorrect — 330° gives sin x = -0.5, not +0.5. D is incorrect — 210° is in the third quadrant where sine is negative.
Question 2 · 1 mark · Difficulty 1/3

How many solutions does the equation tan x = 1 have in the interval 0° ≤ x ≤ 360°?

  1. 1
  2. 2
  3. 3
  4. 4
Show answer & explanation
✓ Answer: B2
Award 1 mark for correct answer. tan x = 1 when x = 45° (first quadrant) and x = 225° (third quadrant), where tangent is positive. A is incorrect — students often forget that tangent repeats every 180°. C and D are incorrect — tangent has a period of 180°, giving exactly two solutions in 360°.
⚡ Start a Quiz on Trigonometry: Solution of trigonometric equations in a given interval
20 questions · 25 min · free

CIE IGCSE Mathematics: Trigonometry: Solution of trigonometric equations in a given interval FAQ

How many CIE IGCSE Mathematics questions on Trigonometry: Solution of trigonometric equations in a given interval are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Trigonometry: Solution of trigonometric equations in a given interval for CIE IGCSE 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 CIE 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 CIE IGCSE 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: Solution of trigonometric equations in a given interval practice with other Mathematics topics or even switch to a totally different CIE 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: Solution of trigonometric equations in a given interval questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE 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 CIE.
How is Trigonometry: Solution of trigonometric equations in a given interval typically tested on CIE IGCSE Mathematics papers?
Trigonometry: Solution of trigonometric equations in a given interval appears across multiple question types on real CIE IGCSE 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.

Lock in Trigonometry: Solution of trigonometric equations in a given interval before exam day.

Start practising in 30 seconds — no card required.

⚡ Start Quiz Free →