Sine and Cosine

What is the complementary relationship between sine and cosine? Using a right triangle, pupils explain why the sine of one acute angle is equal to the cosine of the other. The triangle measurements are given as variables.

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CCSS: Designed
Instructional Ideas

  • Conduct a mini-lesson on how to algebraically represent complementary angles using variables
  • Ask class members to determine if there is another relationship between trigonometric ratios and complementary angles
Classroom Considerations

  • The class should know the definition of sine and cosine
Pros

  • Includes descriptions and examples of common errors
  • Contains questions to help teachers gain a better understanding of student thinking
Cons

  • None
Common Core