Trig graphs and exact values

About this lab: Trig graphs and exact values

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 6.3 and 6.4: trace the graphs of y = sin x, y = cos x and y = tan x from a point moving round the unit circle with their key points, symmetry and asymptotes, find the exact values of sin, cos and tan of 0°, 30°, 45°, 60° and 90° from an equilateral triangle cut in half and a right-angled isosceles triangle, and solve sin x = k, cos x = k and tan x = k for 0° to 360° using the graph as well as the calculator.

IGCSE Mathematics 0580, topics 6.3 and 6.4 (Extended). The graphs of sin, cos and tan from the unit circle, exact values from two special triangles, and solving trig equations between 0° and 360°.

Trig graphs and exact values is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 6 Trigonometry, sections 6.3 Exact trigonometric values (Extended), 6.4 Trigonometric functions (Extended)). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 3 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

• 6.3 Exact trigonometric values (Extended). Lessons: Exact trigonometric values.
• 6.4 Trigonometric functions (Extended). Lessons: Graphs of sine, cosine and tangent, Solving trigonometric equations.

Full syllabus map: IGCSE Mathematics 0580 topic 6.

How to use this simulation

1. 1. Unit circle to graph.
2. 2. Exact values.
3. 3. Solving equations.
4. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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