GraphsExam Tips

Exam Tips for Trigonometric Graphs

Part of Trig GraphsGCSE Mathematics

This exam tips covers Exam Tips for Trigonometric Graphs 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 8 of 11 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 8 of 11

Practice

11 questions

Recall

11 flashcards

💡 Exam Tips for Trigonometric Graphs

  • Learn the 5 key points for each wave (0°, 90°, 180°, 270°, 360°) — you can sketch from these alone
  • Period vs amplitude: period is the horizontal width of one cycle; amplitude is the vertical height from the midline
  • Multiple solutions: if asked to solve sin x = k or cos x = k in a range, always check for a second solution using symmetry
  • tan at 90°: always show the asymptote — the tan graph does NOT cross x = 90°
  • Transformation direction: sin(x + 30°) moves LEFT by 30° (inside bracket = opposite direction)

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?

  • 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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