Paper 2 · Trigonometry ⏱ Tested in 5+ recent exam questions Lesson 5 of 9

Trigonometry 2.5 – Coefficient in front of the angle

This tutorial is for members

Read the lesson notes free below — subscribe to watch the full worked video and download the PDF.

Subscribe for full access · €199/yr

You’ll learn

  • Solve sin 2A = k or cos 3A = k by scaling the domain by the coefficient first
  • Solve for the whole angle (2A, 3A) and divide by the coefficient only at the last line
  • Handle fractions like A/3 in reverse: divide the domain by 3, multiply answers by 3
  • Check the count — trig(nA) = k has 2n solutions in 0° ≤ A ≤ 360°

Most recent exam questions

  • 2025 P2 Q4(c) — deferred
  • 2024 P2 Q3(b)
  • 2022 P1 Q8(e)
  • 2021 P2 Q9(b)(iv)
  • 2020 P2 Q4(a)

💬 Stuck on something in this lesson?

Send your question with this lesson’s name attached — you’ll get a reply by email.