Exam Prep Rise· Staffel 48· Folge 48

MATSEC AM Pure Mathematics Complete Prep Course — Lesson 48: Fundamental and Pythagorean identities

Mittwoch, 21. Oktober 2026 · 8 min

MP3

Shownotes

Sarah builds the three Pythagorean identities from a unit circle, showing that dividing sine squared plus cosine squared equals one by cosine squared gives one plus tangent squared equals secant squared, and by sine squared gives the cotangent version. She covers the quotient and reciprocal identities, the one side only rule for proofs, difference of two squares factorising, and the conjugate trick, then proves two standard identities.

Lesson 48 of 158 in the MATSEC AM Pure Mathematics Complete Prep Course audio course from ExamPrepRise.

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