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Solving Right Triangles Using Inverse Trigonometric Ratios

Instructions:

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question 1 of 3

The sin-1 (0.5) is _____.

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1. If the lengths of the hypotenuse and of one leg of a right triangle are known, the inverse trigonometric ratios we can consider for finding the two unknown angles are _____.

2. If the lengths of two legs of a right triangle are known (but not the hypotenuse), the inverse trigonometric ratio we can use to find the unknown angles is _____.

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About This Quiz & Worksheet

For this quiz and worksheet combination, you will be solving right triangles by using inverse trigonometry ratios. Questions will ask about the lengths of a hypotenuse and one leg along with what to do when the hypotenuse is not known.

Quiz & Worksheet Goals

Expect to find the following topics in the questions for the quiz:

  • Knowing the lengths of a hypotenuse and one leg
  • Having the measurements for both legs
  • Solving for an unknown angle
  • Solving for multiple unknown angles

Skills Practiced

  • Information recall - remember what you have learned about the inverse sine
  • Problem solving - practice by solving problems with two given legs of a right triangle
  • Knowledge application - use what you know to answer questions about the lengths of a hypotenuse and one leg of a right triangle

Additional Learning

For more practice, head on over to the lesson titled Solving Right Triangles Using Inverse Trigonometric Ratios. There, you can look up the following extra content:

  • Adjacent and opposite angles
  • Tangents
  • Practice problems
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