# Trigonometry: Sine, Cosine and Area Rules notes

> CAPS-aligned study notes for Trigonometry: Sine, Cosine and Area Rules in Grade 12 Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

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## Sections in Trigonometry: Sine, Cosine and Area Rules

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- [Right-angled Triangles](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules/right-angled-triangles) — Right-angled Triangles Before tackling the sine rule, cosine rule, and area rule for any triangle, we must first master the trigonometry of right-angled triangles. In a right-angled triangle, one…
- [The Area Rule](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules/the-area-rule) — The Area Rule The formula $\\text{Area} = \\frac{1}{2} \\times \\text{base} \\times \\text{height}$ works well for any triangle when the perpendicular height is known or easy to calculate. However, in many…
- [The Sine Rule](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules/the-sine-rule) — The Sine Rule The Sine Rule (also called the Law of Sines) is a fundamental relationship that connects the sides of any triangle with the sines of their opposite angles. Unlike SOHCAHTOA, which only…
- [The Cosine Rule](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules/the-cosine-rule) — The Cosine Rule The Cosine Rule (also called the Law of Cosines) is a generalisation of the Theorem of Pythagoras. While Pythagoras only works in right-angled triangles, the Cosine Rule works in all…
- [Solving Problems in Two and Three Dimensions](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules/solving-problems-in-two-and-three-dimensions) — Solving Problems in Two and Three Dimensions Everything you have learned about the Sine Rule, Cosine Rule, and Area Rule comes together in 2D and 3D application problems. These problems are the…

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## Frequently asked questions

### What is covered in Trigonometry: Sine, Cosine and Area Rules for Grade 12 Mathematics?

The Trigonometry: Sine, Cosine and Area Rules section covers all key concepts from the Grade 12 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Trigonometry: Sine, Cosine and Area Rules notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

Our Trigonometry: Sine, Cosine and Area Rules notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 12 Mathematics exams.

### Are there quizzes for Trigonometry: Sine, Cosine and Area Rules?

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