# Trig Functions notes

> CAPS-aligned study notes for Trig Functions in Grade 12 Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

- Page: https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 12](https://www.hlayiso.com/grade-12) › [Mathematics](https://www.hlayiso.com/grade-12/mathematics) › [Notes](https://www.hlayiso.com/grade-12/mathematics/notes) › [Trig Functions](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions)

## Sections in Trig Functions

Each entry shows the free preview (about 200 characters). Create a free Hlayiso account to read the full notes, practise every question and track your progress.

- [Graphs of Trigonometric Functions](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions/graphs-of-trigonometric-functions) — Graphs of Trigonometric Functions Trigonometric functions produce some of the most recognisable curves in mathematics. The three basic trig functions, sine, cosine and tangent, each have a unique…
- [Effect of a: Amplitude](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions/effect-of-a-amplitude) — Effect of a: Amplitude The parameter $a$ in the general trig equation controls how tall or short the graph appears. It stretches or compresses the graph vertically and can also reflect it across the…
- [Effect of q: Vertical Shift](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions/effect-of-q-vertical-shift) — Effect of q: Vertical Shift The parameter $q$ in the general equations $y = a\\sin(b(x - p)) + q$, $y = a\\cos(b(x - p)) + q$, and $y = a\\tan(b(x - p)) + q$ produces a vertical shift of the entire…
- [Effect of b: Period](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions/effect-of-b-period) — Effect of b: Period The parameter $b$ in the general trig equations controls the horizontal compression or stretch of the graph, which directly determines the period — the interval length needed for…
- [Effect of p: Horizontal Shift](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions/effect-of-p-horizontal-shift) — Effect of p: Horizontal Shift (Phase Shift) The parameter $p$ in the general equations $y = a\\sin(b(x - p)) + q$, $y = a\\cos(b(x - p)) + q$, and $y = a\\tan(b(x - p)) + q$ produces a horizontal shift…

## Other Mathematics topics

- [Exponents and Surds](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds)
- [Algebraic expressions, equations and inequalities](https://www.hlayiso.com/grade-12/mathematics/notes/algebraic-expressions-equations-and-inequalities)
- [Number patterns](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns)
- [Functions and graphs](https://www.hlayiso.com/grade-12/mathematics/notes/functions-and-graphs)
- [Finance, growth and decay](https://www.hlayiso.com/grade-12/mathematics/notes/finance-growth-and-decay)
- [Differential Calculus](https://www.hlayiso.com/grade-12/mathematics/notes/differential-calculus)
- [Counting principle and probability](https://www.hlayiso.com/grade-12/mathematics/notes/counting-principle-and-probability)
- [Analytical Geometry](https://www.hlayiso.com/grade-12/mathematics/notes/analytical-geometry)
- [Trigonometry](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry)
- [Trigonometry: Sine, Cosine and Area Rules](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules)
- [Euclidean Geometry](https://www.hlayiso.com/grade-12/mathematics/notes/euclidean-geometry)
- [Statistics](https://www.hlayiso.com/grade-12/mathematics/notes/statistics)

## Frequently asked questions

### What is covered in Trig Functions for Grade 12 Mathematics?

The Trig Functions section covers all key concepts from the Grade 12 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Trig Functions 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 Trig Functions 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 Trig Functions?

Yes. Hlayiso has quizzes for Trig Functions in Grade 12 Mathematics. Test your understanding after reading the notes.

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.