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L4.9 - Using Trigonometric Ratios to Find Angles

Learning Intentions and Success Criteria

We are learning to:
  • Calculate angle measures in right triangles using arccosine, arcsine, and arctangent
We are successful when we can:
  • Use arccosine, arcsine, and arctangent to find angle measures in right triangles

9.1: Once More with the Table

A triangle with side lengths 3, 4, and 5 is a right triangle by the converse of the Pythagorean Theorem. What are the measures of the acute angles?

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tan() = To solve this for angle degree use tan(3/4) on the calculator is also called arctangent.

9.2: From Ratios to Angles

9.2: From Ratios to Angles

ABC

DEF

GHJ

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Learning Intentions and Success Criteria

We are learning to:
  • Calculate angle measures in right triangles using arccosine, arcsine, and arctangent
We are successful when we can:
  • Use arccosine, arcsine, and arctangent to find angle measures in right triangles

Cool-Down: Again with the Calculator

A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem. What are the measures of the other 2 angles?

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