Pythagorean Identities in Trigonometry: Definition & Examples


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question 1 of 3

What is the hypotenuse of the right triangle formed from the unit circle?

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1. Which of the following is not a Pythagorean identity?

2. What is sine2 + cosine2?

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About This Quiz & Worksheet

This quiz consists of several math questions that involve the three Pythagorean identities. You'll also need to remember the Pythagorean theorem in order to pass.

Quiz & Worksheet Goals

Evaluate your understanding of the following:

  • The hypotenuse of a right triangle formed from the unit circle
  • What is or isn't a Pythagorean identity
  • Sine squared plus cosine squared
  • Cosecant squared minus cotangent squared
  • Secant squared

Skills Practiced

  • Critical thinking - apply relevant concepts to examine what is and is not a Pythagorean identity in a different light
  • Problem solving - use acquired knowledge to solve practice problems, like what secant squared equals
  • Distinguishing differences - differentiate between the three Pythagorean identities

Additional Learning

For further study, look into the lesson titled Pythagorean Identities in Trigonometry: Definition & Examples. The following are a few of the lesson's objectives:

  • Explain the first, second and third identities
  • Relate the Pythagorean theorem
  • Understand how the identities can be derived from each other