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Trig Graphs

Revise Trig Graphs in Graphs for GCSE Mathematics with 11 exam-style questions and 11 flashcards. This topic appears less often, but it can still pick up marks when it appears in mixed-topic papers.

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The Language of Waves

Introduction 2

The Three Trigonometric Graphs — Quick Reference

Key Facts 3

The Sine and Cosine Waves

Diagram 4

Key Points to Know by Heart

Deep Dive 5

Transformations of Trig Graphs

Deep Dive 6

Finding Multiple Solutions to Trig Equations

Deep Dive 7

Exact Values — Must Know

Key Facts 8

Exam Tips for Trigonometric Graphs

Exam Tips 9

Worked Examples

Notes 10

Common Misconceptions

Misconceptions 11

Topic Summary: 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)

Sample Questions

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

exam-style questions

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