Math3_2018_19

Norm Prokup, Aug 28, 2018

Table of Contents

  1. Unit 1
    1. M3_001_Distance to Horizon
    2. M3_013 Cube Dissection
    3. M3_019_Pyramid_TABCD
    4. M3_020_Measuring_Dihedral_Angle
    5. Similarity Triangles and Trap
    6. M3_021_Pyramid_Slice_KLMN
    7. M3_025
    8. M3_034_Octagonal_Pyramid
    9. Net of a Pyramid
    10. Regular Tetrahedron
    11. Sector Problems 2
    12. Sector Problems 1
    13. Sector to Cone
  2. Unit 2
    1. 17/1, 2. Sine and Cosine Graphs
    2. The Unit Circle
    3. Unit Circle Symmetry
    4. The Unit Circle 2
    5. 71_SAS_TriangleProblem
    6. 90 Sector area
    7. (P9/Q2) Pole and Shadow
    8. 70, 71
    9. 69 15-degree rotation
    10. 72 cosine equations
    11. 65 Quarter-turn
    12. Net of a Cone
    13. 95. Pole and Shadow
    14. Sawblade Sine
    15. Sawblade Cosine
    16. 2x2 Matrix Analysis Tool
    17. Sawblade Tangent

1.

Unit 1

  • 1. M3_001_Distance to Horizon
  • 2. M3_013 Cube Dissection
  • 3. M3_019_Pyramid_TABCD
  • 4. M3_020_Measuring_Dihedral_Angle
  • 5. Similarity Triangles and Trap
  • 6. M3_021_Pyramid_Slice_KLMN
  • 7. M3_025
  • 8. M3_034_Octagonal_Pyramid
  • 9. Net of a Pyramid
  • 10. Regular Tetrahedron
  • 11. Sector Problems 2
  • 12. Sector Problems 1
  • 13. Sector to Cone

1.1.

M3_001_Distance to Horizon

– Norm Prokup

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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2.

Unit 2

  • 1. 17/1, 2. Sine and Cosine Graphs
  • 2. The Unit Circle
  • 3. Unit Circle Symmetry
  • 4. The Unit Circle 2
  • 5. 71_SAS_TriangleProblem
  • 6. 90 Sector area
  • 7. (P9/Q2) Pole and Shadow
  • 8. 70, 71
  • 9. 69 15-degree rotation
  • 10. 72 cosine equations
  • 11. 65 Quarter-turn
  • 12. Net of a Cone
  • 13. 95. Pole and Shadow
  • 14. Sawblade Sine
  • 15. Sawblade Cosine
  • 16. 2x2 Matrix Analysis Tool
  • 17. Sawblade Tangent

2.1.

17/1, 2. Sine and Cosine Graphs

Two Views of Sine and Cosine
On the left, an angle [math]t[/math] is shown in yellow. We know that the cosine and sine of [math]t[/math] are given by the coordinates of [math]A:[/math]  [math]A=\left(\cos t,\sin t\right)[/math][br]On the right, the blue graph consists of points [math]\left(t,\sin t\right)[/math] and the red graph consists of points [math]\left(t,\cos t\right)[/math]. Notice that [math]t[/math] is measured on the horizontal axis. These graphs could also be described by the equations [math]y=\sin x[/math] and [math]y=\cos x,[/math] respectively.
– Norm Prokup

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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2.17.

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