Paper 2 · Trigonometry Lesson 6 of 9

Trigonometry 2.6: No domain (generalising the angle)

This tutorial is for members

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

You’ll learn

Recognise a trig equation with no domain as having infinitely many solutions
Write the general solution: A = first, second, first + 360n, second + 360n (n ∈ ℤ)
Use +2πn instead of +360n when the question is in radians
Halve the period when dividing by a coefficient — 2A with +2πn becomes A with +πn

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