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... Trigonometric Identities and Equations

Trigonometric Identities and Equations

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Trigonometric Identities and Equations (17 topics)

Verifying Trigonometric Identities (3 topics)


  • Simplifying trigonometric expressions
  • Using cofunction identities
  • Verifying a trigonometric identity

Sum and Difference Formulas (3 topics)


  • Sum and difference identities - Problem type 1
  • Sum and difference identities - Problem type 2
  • Sum and difference identities - Problem type 3

Double-Angle, Half-Angle, Product-to-Sum, and Power Reducing Formulas (6 topics)


  • Double-angle identities - Problem type 1
  • Double-angle identities - Problem type 2
  • Power-reducing identities
  • Half-angle identities - Problem type 1
  • Half-angle identities - Problem type 2
  • Product-to-sum and sum-to-product identities - Problem type 1

Trigonometric Equations (5 topics)


  • Finding solutions in an interval for a basic equation involving sine or cosine
  • Finding solutions in an interval for a basic tangent, cotangent, secant, or cosecant equation
  • Solving a basic trigonometric equation using a calculator
  • Solving a basic trigonometric equation involving sine or cosine
  • Solving a basic trigonometric equation involving tangent, cotangent, secant, or cosecant

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