Core 2 Trigonometry

Nicola Trubridge, HHAMaths, May 19, 2017

A Level Trigonometry

Table of Contents

  1. Sine 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. Proofs of sine rule, cosine rule, area of a triangle
  2. Cosine Rule
    1. The Cosine Rule
    2. Proof without words: Cosine Rule (餘弦公式)
  3. The Unit Circle
    1. Sine Graph
    2. Trig Curves
    3. Unit Circle and Tangent Graph
  4. Radians
    1. Radian Measure in Unit Circle
    2. Radians in Unit Circle
    3. Blank canvas for trig curves in radians
  5. Arcs and Sectors
    1. Arc Lengths (Degrees)
    2. Arc Lengths (Radians)
    3. Area of Sectors (Degrees)
    4. Area of Sectors (Radians)
  6. Sine and Cosine Graphs
    1. Using the Sine & Cosine Graphs
  7. Transformations of trig functions
    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

1.

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

1.1.

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

– Nicola Trubridge, Mr Hardman

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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2.

Cosine Rule

  • 1. The Cosine Rule
  • 2. Proof without words: Cosine Rule (餘弦公式)

2.1.

The Cosine Rule
– Mr_Stewart_Maths

2.2.

–

3.

The Unit Circle

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

3.1.

Sine Graph

Sine Graph
– Roger Lui

3.2.

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3.3.

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4.

Radians

  • 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.

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4.3.

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5.

Arcs and Sectors

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

5.1.

Arc Lengths (Degrees)

Arc Lengths (Degrees)
– Toh Wee Teck

5.2.

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5.3.

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5.4.

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6.

Sine and Cosine Graphs

  • 1. Using the Sine & Cosine Graphs

6.1.

Using the Sine & Cosine Graphs

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

7.

Transformations of trig functions

  • 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

7.1.

Transforming the Sine Function

Transforming The Sine Function
– Breck Jacobs

7.2.

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7.3.

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7.4.

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7.5.

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