IGCSE Maths · Area 6 of 9

Trigonometry

Pythagoras' theorem, right-angled triangles, sine, cosine and tangent, the sine and cosine rules and the area of a triangle.

5 topics · 37 exam-style questions · 104 marks

Trigonometry in 0580 is about choosing the right tool: Pythagoras for a missing side with no angle, SOHCAHTOA for a right-angled triangle, the sine and cosine rules for anything else.

Pythagoras' Theorem

Pythagoras' theorem links the three sides of a right-angled triangle, and Cambridge uses it in every paper - on its own, hidden inside a circle or a cuboid question, and ...

7 questions · 18 marks

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Right-Angled Triangles

The sine, cosine and tangent ratios let you work with one side and one angle instead of two sides, which is what most real problems give you. Cambridge examines finding a...

7 questions · 17 marks

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Trigonometric Functions and Exact Values

This page is the other half of trigonometry: the exact values of sinx, cosx and tanx for 30∘, 45∘, 60∘ and 90∘, wher...

8 questions · 21 marks

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Non-Right-Angled Triangles

SOHCAHTOA only works while there is a right angle in the picture. This page is the rest of trigonometry: the sine rule and the cosine rule, which solve any triangle from ...

8 questions · 26 marks

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Trigonometry in 3D

Every three-dimensional question reduces to a right-angled triangle you draw in two dimensions. This page covers the space diagonal of a cuboid, the cross-section of a pr...

7 questions · 22 marks

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Where this fits in IGCSE Maths

This page is one area of Cambridge IGCSE Maths 0580. IGCSE Maths is the course home: every area and every topic in Cambridge's own order, the papers you sit and what each one tests, and the exam-practice tools. The full topic list, with each topic linked to its revision page, is on the IGCSE Maths syllabus page.