GEOM.MATH.9.A

Determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems.

Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
right triangleside lengthangle measuretrigonometric ratiossinecosinetangentproblems
Skills
  • determine (side lengths of a right triangle using trigonometric ratios) #dok2
  • determine (angle measures of a right triangle using trigonometric ratios) #dok2
  • apply (sine, cosine, and tangent to solve right triangle problems) #dok2
  • recognize (when to use specific trigonometric ratios in a problem context) #dok2
  • interpret (real-world problems involving right triangles and find required measures) #dok3
Learning Targets
  • I can recall the definitions of sine, cosine, and tangent ratios for right triangles. #dok1
  • I can identify the opposite, adjacent, and hypotenuse sides in a given right triangle. #dok1
  • I can determine the appropriate trigonometric ratio to use for finding a missing length or angle in a right triangle. #dok2
  • I can set up and solve equations using sine, cosine, or tangent to find missing side lengths in right triangles. #dok2
  • I can set up and solve equations using sine, cosine, or tangent to find missing angle measures in right triangles. #dok2
  • I can apply trigonometric ratios to solve real-world and mathematical problems involving right triangles. #dok3
  • I can interpret contextual word problems and select an appropriate trigonometric strategy to solve for unknown measurements. #dok3
Big Ideas
  • Trigonometric ratios provide a powerful tool for finding unknown side lengths and angle measures in right triangles.
  • Understanding and applying sine, cosine, and tangent ratios allows us to solve real-world and theoretical problems involving right triangles.
Essential Questions
  • How can we use trigonometric ratios to find missing side lengths and angles in a right triangle?
  • What strategies help you determine which trigonometric ratio is appropriate in a particular situation?
  • How do trigonometric ratios connect geometric and algebraic thinking?
  • In what real-world situations might you need to use right triangle trigonometry?
  • What information must be present in a triangle to use sine, cosine, or tangent for missing measures?