What Is a Trigonometric Identity?

Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.

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CCSS: Designed
Instructional Ideas

  • Allow learners to review the Pythagorean Theorem using variables or expressions for side lengths
  • Emphasize the effect of quadrants on the values of the sine and cosine ratios
Classroom Considerations

  • Pupils should have a strong understanding of the unit circle and the trigonometric ratios
  • The 16th in a 19-part series of trigonometry lessons
Pros

  • Provides adaptation suggestions for ELL pupils
  • Includes a set of practice problems for independent practice along with a worked-out solution guide
Cons

  • None
Common Core