Integrating Trigonometric Products

Integrate single trig functions and simple linear-argument cases such as cos(3x) using standard antiderivative rules.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • No direct alignment recorded
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-04

Resources

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Terminology

  • Trigonometric identity
  • Double-angle identity
  • Product of functions
  • Antiderivative
  • Constant of integration
  • Definite integral
  • Substitution

Task goals

  • Foundation: Integrate single trig functions and simple linear-argument cases such as cos(3x) using standard antiderivative rules.
  • Proficient: Rewrite products such as sin(x)cos(x) or sin^2(x) using double-angle identities, then integrate the resulting expression.
  • Excellence: Integrate more complex trigonometric products or powers requiring combined identities, substitution, or evaluation as a definite integral.

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