Tuesday, 30 June 2026

Trigonometry Extension 1

 HSC trigonometry Extension 1 goes well beyond SOHCAHTOA. Students must master compound angle formulas, double angle identities, trig equations over specified domains, and inverse trigonometric functions — often in multi-step exam questions.

Key trig topics for Extension 1

  • Compound angle identities: sin(A ± B), cos(A ± B), tan(A ± B)
  • Double angle formulas and t-formulae
  • Solving trig equations — general solutions and restricted domains
  • Inverse trig functions — domain, range, and compositions
  • Trig graphs and transformations

Free trigonometry booklet

HSC Trigonometry on Vu's Maths Hub covers identities, equations, graphs, and inverse trig with worked examples for Extension 1 and Extension 2.

Trig connects everywhere

Trigonometry links to HSC Complex Numbers (Euler's formula), HSC Integrals (trig integration), and HSC Mechanics (projectile motion angles).

For mixed practice: HSC Collections. For past paper style revision across all topics, visit vumaths.com.

Extension 1 worked solutions, NESA-aligned HSC Maths revision notes — free for NSW students.

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