Verifying Trigonometric Identities

Using right triangles to verify trigonometric identities

Types of Problems:

  • Be able to determine missing sides of a right triangle
  • Be able to apply the definitions of sine, cosine, tangent, cotangent, secant, and cosecant ratios to confirm trigonometric identities

Notes & Handouts

Practice 

Video and other resources

Digital Resources

Using reciprocal identities to verify trigonometric identities

Types of Problems:

  • Be able to apply the reciprocal identities of sine, cosine, tangent, cotangent, secant, and cosecant ratios to confirm trigonometric identities

Notes & Handouts

Practice

​Video and other resources

​Digital Resources

Using fraction properties to verify trigonometric identities

​Types of Problems:

  • Be able to apply the operations related to fractions and complex fractions to confirm trigonometric identities

​Practice

​Video and other resources

​Notes & Handouts

​​Digital Resources

Using factoring to verify trigonometric identities

​Types of Problems:

  • Be able to apply the factoring techniques to confirm trigonometric identities

​Practice

​Video and other resources

​Notes & Handouts

​Digital Resources

Using conjugates to verify trigonometric identities

​​Types of Problems:

  • Be able to apply the concept of a conjugate to confirm trigonometric identities

​​Notes & Handouts

​​Practice

​Video and other resources

​Digital Resources

Using Pythagorean identities to verify trigonometric identities

​​Types of Problems:

  • Be able to derive all of the versions of the Pythagorean Identities from original
  • Be able to apply Pythagorean Identities to confirm trigonometric identities

​​Practice

​Video and other resources

​​Notes & Handouts

​Digital Resources

Using advanced and combined identities to verify trigonometric identities

​​Types of Problems:

  • Be able to use a variety of the basic methods in conjunction with each other to confirm trigonometric identities
    • Use at least two of the methods
      • Reciprocal identities 
      • Pythagorean identities 
      • Quotient identities
      • Factoring
      • Conjugate
      • Right Triangle Ratios
  • Use more advanced identities to confirm trigonometric identities. 
    • Use at least one of the following methods:
    • Half Angle identity
    • Double Angle identity
    • Sum and Difference formulas
    • Sum to Product formula
    • Product to Sum formula
    • Power Reducing formula

​​Practice

​​Video and other resources

​​Notes & Handouts

Digital Resources