This deep dive covers Key Points to Know by Heart within Trig Graphs for GCSE Mathematics. Revise Trig Graphs in Graphs for GCSE Mathematics with 11 exam-style questions and 11 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 4 of 11 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 11
Practice
11 questions
Recall
11 flashcards
Key Points to Know by Heart
Sine graph y = sin x
- Starts at (0°, 0) — passes through the origin
- Reaches maximum 1 at x = 90°
- Returns to 0 at x = 180°
- Reaches minimum −1 at x = 270°
- Returns to 0 at x = 360° (one full cycle complete)
Cosine graph y = cos x
- Starts at (0°, 1) — maximum at origin
- Crosses zero at x = 90°
- Reaches minimum −1 at x = 180°
- Returns to 0 at x = 270°
- Returns to 1 at x = 360° (one full cycle complete)
Relationship: cos x = sin(x + 90°) — the cosine graph is the sine graph shifted 90° to the left.
Tangent graph y = tan x
- Period of 180° (not 360°)
- Vertical asymptotes at x = 90°, 270°, −90°, 450°, ...
- Passes through (0°, 0), (45°, 1), (135°, −1)
- Has no maximum or minimum — goes to ±∞
Keep building this topic
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?
Explain the relationship between the graphs of y = sin x and y = cos x.
Quick Recall Flashcards
11 questions on Trig Graphs — practise free
Instant marking, adaptive difficulty, and 11 spaced repetition flashcards. Free until your GCSEs.
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