Intuitional
Back to Blog
O Level

O-Level Additional Mathematics: Trigonometric Identities & Equations

By Intuitional Team1 min read

O-Level Additional Mathematics — Trigonometric Identities & Equations: quick notes, common traps, and an exam-style example.

Trigonometric identities

Core: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ. Use double-angle (sin2θ, cos2θ) and compound-angle (sin(A±B)) identities to simplify.

Proof tips

Always start from one side, use expansions, and convert everything to sin/cos if stuck.

Exam habits

  • Memorise exact values (30°, 45°, 60°).
  • Watch out for domain restrictions when solving trig equations.
  • Show all steps in proving identities.

Tags

O-LevelAdditional MathematicsTrigonometric Identities & Equations