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Trig Graphs

Revise Trig Graphs in Graphs for GCSE Mathematics with 11 exam-style questions and 11 flashcards. Use the notes, sample questions, and flashcards below to connect this topic to the rest of your GCSE revision plan.

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1

The Language of Waves

Introduction2

The Three Trigonometric Graphs — Quick Reference

Key Facts3

The Sine and Cosine Waves

Diagram4

Key Points to Know by Heart

Deep Dive5

Transformations of Trig Graphs

Deep Dive6

Finding Multiple Solutions to Trig Equations

Deep Dive7

Exact Values — Must Know

Key Facts8

Exam Tips for Trigonometric Graphs

Exam Tips9

Worked Examples

Notes10

Common Misconceptions

Misconceptions11

Knowledge Organiser: Trigonometric Graphs

Summary

Sample Flashcards

How are the sine and cosine graphs related?
The cosine graph is the sine graph shifted 90° to the LEFT. cos x = sin(x + 90°) OR sin x = cos(x - 90°) Both have the same shape, amplitude and period — the cosine graph simply starts at its maximum (1) rather than at zero.
Describe the key features of the sine graph y = sin x
Shape: smooth wave (S-shaped repeating curve) Amplitude: 1 (max value = 1, min value = -1) Period: 360° (repeats every 360°) Passes through: (0, 0), (90°, 1), (180°, 0), (270°, -1), (360°, 0) Symmetry: origin symmetry (odd function)

Exam questions for Trig Graphs

What is the period of the graph y = sin x?

  • A. 90°
  • B. 180°
  • C. 360°
  • D. 720°
1 markfoundation

Explain the relationship between the graphs of y = sin x and y = cos x.

2 markshigher

Want more? See all GCSE Mathematics exam questions by paper with full model answers and mark schemes.

11

exam-style questions

11

revision flashcards

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