What is the exact value of sin(30°)?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Exact trigonometric values Topical Past Papers.
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These Exact trigonometric values Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Trigonometry (E6.3) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Know and use the exact values of sine, cosine and tangent at 0°, 30°, 45°, 60° and 90°.
What is the exact value of sin(30°)?
State the exact value of cos(60°).
[1 mark]State the exact value of tan(45°) and explain briefly why this value occurs.
[2 marks]State the exact value of sin(60°).
[2 marks]What is the exact value of cos(45°)?
Find the exact value of sin(60°) × cos(30°).
[2 marks]Find the exact value of sin²(45°) + cos²(45°).
[1 mark]A right-angled triangle has hypotenuse 8 cm and one angle of 30°. Find the EXACT length of the side opposite to the 30° angle.
[2 marks]Find the exact value of tan(60°) − tan(30°). Give your answer in the form a√3 / b where a and b are integers.
[2 marks]