Core 2 Trigonometry

Nicola Trubridge, Jan 7, 2015

A Level Trigonometry

Table of Contents

  1. The Unit Circle
    1. Sine Graph
    2. Trig Curves
    3. Unit Circle and Tangent Graph
  2. Sine and Cosine Graphs
    1. Using the Sine & Cosine Graphs
  3. Sine and Cosine Rule
    1. Proofs of sine rule, cosine rule, area of a triangle
    2. Sine Rule Proof
    3. Sine rule angle calculation
    4. Sine rule length calculation
    5. The Sine Rule
    6. The Sine Rule - the ambiguous case
    7. The Cosine Rule
    8. Proof without words: Cosine Rule (餘弦公式)
  4. Radians (NO LONGER)
    1. Radian Measure in Unit Circle
    2. Radians in Unit Circle
    3. Blank canvas for trig curves in radians
  5. Transformations of trig functions (NOT HERE)
    1. Transforming the Sine Function
    2. Transforming the Cosine Function
    3. Modeling Using The Sine Function
    4. Transforming the Sine Function
    5. Trig Function Transformation
  6. Arcs and Sectors (NOT HERE)
    1. Arc Lengths (Degrees)
    2. Arc Lengths (Radians)
    3. Area of Sectors (Degrees)
    4. Area of Sectors (Radians)

1.

The Unit Circle

  • 1. Sine Graph
  • 2. Trig Curves
  • 3. Unit Circle and Tangent Graph

1.1.

Sine Graph

Sine Graph
– Roger Lui

1.2.

–

1.3.

–

2.

Sine and Cosine Graphs

  • 1. Using the Sine & Cosine Graphs

2.1.

Using the Sine & Cosine Graphs

Using the Sine and Cosine graphs to find related angles.
– DavidA

3.

Sine and Cosine Rule

  • 1. Proofs of sine rule, cosine rule, area of a triangle
  • 2. Sine Rule Proof
  • 3. Sine rule angle calculation
  • 4. Sine rule length calculation
  • 5. The Sine Rule
  • 6. The Sine Rule - the ambiguous case
  • 7. The Cosine Rule
  • 8. Proof without words: Cosine Rule (餘弦公式)

3.1.

Proofs of sine rule, cosine rule, area of a triangle

Follow the proofs for the sine rule, cosine rule, and area of a triangle (GCSE/IGCSE)
– Mr Hardman

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

4.

Radians (NO LONGER)

  • 1. Radian Measure in Unit Circle
  • 2. Radians in Unit Circle
  • 3. Blank canvas for trig curves in radians

4.1.

Radian Measure in Unit Circle

Radian Measure in Unit Circle
– RJonas

4.2.

–

4.3.

–

5.

Transformations of trig functions (NOT HERE)

  • 1. Transforming the Sine Function
  • 2. Transforming the Cosine Function
  • 3. Modeling Using The Sine Function
  • 4. Transforming the Sine Function
  • 5. Trig Function Transformation

5.1.

Transforming the Sine Function

Transforming The Sine Function
– Breck Jacobs

5.2.

–

5.3.

–

5.4.

–

5.5.

–

6.

Arcs and Sectors (NOT HERE)

  • 1. Arc Lengths (Degrees)
  • 2. Arc Lengths (Radians)
  • 3. Area of Sectors (Degrees)
  • 4. Area of Sectors (Radians)

6.1.

Arc Lengths (Degrees)

Arc Lengths (Degrees)
– Toh Wee Teck

6.2.

–

6.3.

–

6.4.

–

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