Algebra II Module 2, Topic B, Lesson 15

students studying

Student Outcomes

  • Students prove the Pythagorean identity sin2(x) + cos2(x) = 1.
  • Students extend trigonometric identities to the real line, with attention to domain and range.
  • Students use the Pythagorean identity to find sin(θ), cos(θ), or tan(θ), given sin(θ), cos(θ), or tan(θ) and the quadrant of the terminal ray of the rotation.

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
F.TF.8 Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to calculate trigonometric ratios.

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