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Trigonometric Equations

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Trigonometry in Mathematical Methods VCE

This topic explores trigonometric functions, identities, and their applications in solving equations and modeling periodic phenomena.

Content Covered

  • Trigonometric ratios: Sine, cosine, and tangent functions

  • Unit circle definitions: Understanding angles in radians and degrees

  • Graphing trigonometric functions: Period, amplitude, and phase shifts

  • Trigonometric identities: Pythagorean identities, sum and difference formulas

  • Solving trigonometric equations: Using algebraic and graphical methods

Main Topics Assessed

  • Applying trigonometric identities to simplify expressions

  • Solving equations involving sine, cosine, and tangent

  • Sketching and analyzing trigonometric graphs

  • Using trigonometry in real-world applications