S3 Math 2024

Christopher Sim, Apr 28, 2024

Table of Contents

  1. EM Trigo: Trigo Ratios (Obtuse)
    1. Angles in Standard Position
    2. Trigonometric Ratios (All Angles)
    3. Trigonometric Ratios of Angles
    4. Comparing Trigo Ratios of Acute and Obtuse Angles
    5. Trig Ratio Possibilities (Hints)
    6. Trigo (Obtuse)
  2. EM Trigo: Area of Triangle, Sine and Cosine Rules
    1. Area of Triangle
    2. Trigonometry - Sine Rule
    3. Opposite Angle - Opposite Sides (Sine Rule)
    4. Derivation of Sine Rule
    5. Ambiguous Case
    6. Cosine Rule
  3. EM Trigo: Angle of Elevation and Depression
    1. Angle of Elevation and Depression
  4. EM Trigo: Bearings
    1. Bearings
  5. EM Trigo: 3D Problems
    1. Chapter 7 Notes
  6. AM Coordinate Geometry of Circles
    1. Equation of Circles
    2. Tangent Perpendicular to Radius
  7. AM Trigo
    1. Trigo Ratios (All Angles)
    2. Complementary Angles
    3. Positive and Negative Angles
  8. AM Trigo: Graphs

1.

EM Trigo: Trigo Ratios (Obtuse)

  • 1. Angles in Standard Position
  • 2. Trigonometric Ratios (All Angles)
  • 3. Trigonometric Ratios of Angles
  • 4. Comparing Trigo Ratios of Acute and Obtuse Angles
  • 5. Trig Ratio Possibilities (Hints)
  • 6. Trigo (Obtuse)

1.1.

Angles in Standard Position

The angle drawn below in the coordinate plane is classified as being drawn in [b]STANDARD POSITION. [br][br][/b]Interact with the applet for a minute.[br]Then answer the question that follows.
ANGLE IN STANDARD POSITION:
1.
What does it mean for an angle drawn in the coordinate plane to be drawn in [b]STANDARD POSITION? [br][br][/b](Your definition should list 2 criteria.)
– Tim Brzezinski

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

2.

EM Trigo: Area of Triangle, Sine and Cosine Rules

  • 1. Area of Triangle
  • 2. Trigonometry - Sine Rule
  • 3. Opposite Angle - Opposite Sides (Sine Rule)
  • 4. Derivation of Sine Rule
  • 5. Ambiguous Case
  • 6. Cosine Rule

2.1.

Area of Triangle

– Christopher Sim

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

3.

EM Trigo: Angle of Elevation and Depression

  • 1. Angle of Elevation and Depression

3.1.

Angle of Elevation and Depression

– Christopher Sim

4.

EM Trigo: Bearings

  • 1. Bearings

4.1.

Bearings

– Christopher Sim

5.

EM Trigo: 3D Problems

  • 1. Chapter 7 Notes

5.1.

Chapter 7 Notes

– Christopher Sim

6.

AM Coordinate Geometry of Circles

  • 1. Equation of Circles
  • 2. Tangent Perpendicular to Radius

6.1.

Equation of Circles

– Christopher Sim

6.2.

–

7.

AM Trigo

  • 1. Trigo Ratios (All Angles)
  • 2. Complementary Angles
  • 3. Positive and Negative Angles

7.1.

Trigo Ratios (All Angles)

– Christopher Sim

7.2.

–

7.3.

–

8.

AM Trigo: Graphs


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