Pythagorean trigonometric identities
What Pythagorean trigonometric identities means in Mathematics A-Level, as defined for AQA.
Definition of Pythagorean trigonometric identities
Check what you remember
Read the wording for your board, then hide it and explain Pythagorean trigonometric identities in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: AQA
Three fundamental identities: sin²θ + cos²θ ≡ 1, sec²θ ≡ 1 + tan²θ and cosec²θ ≡ 1 + cot²θ.
Topics that use Pythagorean trigonometric identities
- E: Trigonometry (AQA A-Level)
Related terms
- Algebraic manipulation
- Amplitude
- Asymptote
- Derivation and manipulation of identities
- Domain and range restrictions for functions
- exact trigonometric values
- Graphical behaviour including asymptotes and ranges
- harmonic form
Using Pythagorean trigonometric identities 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