GraphsKey Facts

The Three Trigonometric Graphs — Quick Reference

Part of Trig GraphsGCSE Mathematics

This key facts covers The Three Trigonometric Graphs — Quick Reference within Trig Graphs for GCSE Mathematics. 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 be a useful differentiator on mixed-topic papers. It is section 2 of 11 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 11

Practice

11 questions

Recall

11 flashcards

The Three Trigonometric Graphs — Quick Reference

Feature y = sin x y = cos x y = tan x
Period 360° 360° 180°
Amplitude 1 1 Undefined
Range −1 to 1 −1 to 1 All real numbers
Passes through (0°, 0) (0°, 1) (0°, 0)
Asymptotes None None x = 90°, 270°, ...

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Read this section alongside the surrounding pages in Trig Graphs. That gives you the full topic sequence instead of a single isolated revision point.

Practice 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

Quick Recall Flashcards

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)
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.

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