harmonic form
What harmonic form means in Mathematics A-Level, as defined for AQA, OCR, WJEC.
Definitions of harmonic form
Exam boards and our study guides word this term in slightly different ways. Learn the version your board uses.
Check what you remember
Read the wording for your board, then hide it and explain harmonic form in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: WJEC
The equivalent form of a cos θ + b sin θ written as r cos(θ ± α) or r sin(θ ± α).
The process of expressing a sum of sine and cosine functions, a.cosx + b.sinx, as a single cosine or sine function, Rcos(x-α) or Rsin(x+α).
An expression such as a cos x + b sin x rewritten as Rcos(x − α) or Rsin(x + α), representing one sinusoidal function.
Topics that use harmonic form
- E: Trigonometry (AQA A-Level)
- Trigonometry (OCR A-Level)
- Trigonometry (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- Radian
- Asymptote
- exact trigonometric values
- Identity
- period
- principal value
- Algebraic manipulation
- Amplitude
Using harmonic form in the exam
Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.
Practise Mathematics questions
Create a free account to answer exam-style questions on this topic and get feedback on your answers.
A week of Premium from your first lesson · Then the free plan continues · No card, no charge