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Understanding Special Right Triangles: 45°-45°-90° and 30°-60°-90° Concepts

This section delves into the unique properties of special right triangles, specifically the 45°-45°-90° and 30°-60°-90° triangles. It provides formulas to find the sides of these triangles, including step-by-step examples to calculate 'x' and 'y' values. You will learn how sine, cosine, and tangent functions apply to these triangles, emphasizing their geometric relationships. The concepts are essential for solving various mathematical problems and enhancing your understanding of trigonometry.

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Understanding Special Right Triangles: 45°-45°-90° and 30°-60°-90° Concepts

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  1. Section 5.1 Special Right Triangles

  2. 45° – 45° – 90° 1 1

  3. 45° – 45° – 90° 3 3

  4. 45° – 45° – 90° 5

  5. 30° – 60° – 90° 2 2 2 1

  6. 30° – 60° – 90° 2 8 1 4

  7. 30° – 60° – 90° 2 1 6 3

  8. #1. Find x and y. Page 155

  9. #2. Find x and y. Page 155

  10. #3. Find x and y. Page 155

  11. #5. Find x and y. Page 155

  12. #5. Find x and y. Page 155

  13. sin θ and cosθ Hyp Opp θ Adj

  14. sin ÷ cos = tan

  15. What is the “co” for in cosine? c c β a a θ b b = The functions sine and cosine have the same value when the angles are complementary.

  16. 2. Solo QuizFind x and y in each problem. 1. 4. 3.

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