Paper 2 · Trigonometry ⏱ Tested in 5+ recent exam questions Lesson 3 of 6

Trigonometry 3.3: Changing the period

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You’ll learn

  • Find the period from the coefficient of x: 2π/c in radians or 360°/c in degrees
  • Cancel the π's when the coefficient contains π, e.g. cos(10πt) has period 1/5
  • Divide by fraction coefficients via the reciprocal: 2π ÷ (2π/365) = 365
  • Sketch graphs like y = 4 sin 3t by marking the quarter-period landmarks

Most recent exam questions

  • 2025 P2 Q4(d) — deferred
  • 2024 P2 Q10(b) — deferred
  • 2023 P2 Q7(f)
  • 2022 P1 Q8(c)
  • 2021 P2 Q9(b)(i)

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