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. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. 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 ±∞