Trigonometry and Measure of Angles
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Curated by:
Eddie Woo (63 videos)
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Exact Values for Trigonometric Ratios
Why Degrees?
Why is Trigonometry so important?
Manipulating the Trig Ratios in Geometry (example question)
The Basic Trig Ratios & their Reciprocals
Why are Sine & Cosine given their names?
Redefining the Trig Functions on the Unit Circle (1 of 2: The Basic Concept)
Redefining the Trig Functions on the Unit Circle (2 of 2: Understanding Non-Acute Angles)
How to Graph Trigonometric Functions (1 of 2: Sine)
How to Graph Trigonometric Functions (2 of 2: Cosine & Tangent)
Reading Values from Trigonometric Graphs
Odd & Even Functions (1 of 2: Introductory Examples)
Odd & Even Functions (2 of 2: Relevance to Trigonometry)
Cosine Rule: An Upgrade to Pythagoras' Theorem
Sine Rule: The Ambiguous Case
Why the Sine Rule Works (1 of 3: Acute Angles)
Why the Sine Rule Works (2 of 3: Right Angles)
Why the Sine Rule Works (3 of 3: Obtuse Angles)
3D Trigonometry: a notorious question (1 of 2: Setting up the diagrams)
3D Trigonometry: a notorious question (2 of 2: Working the numbers)
The Lighthouse (Challenging 3D Trig Question)
Introduction to Radians (1 of 3: Thinking about degrees)
Introduction to Radians (2 of 3: Defining a better way)
Introduction to Radians (3 of 3: Definition + Why Radians Aren't Units)
Radian Measure (1 of 4: The worth of Radians in Circles & Calculus)
Radian Measure (2 of 4: Finding ratio between arc length and radius - Why use 'pi'?)
Radian Measure (3 of 4: Finding the formula for the area of a sector in radians)
Radian Measure (4 of 4: Solving Trigonometry with Radians and advantages for calculus)
Circles and Radian Measure (Using Area of Triangle and Sector to find the Area of a Segment)
Trigonometric Functions: Angles of Any Magnitude (1 of 2: The unit circle)
Trigonometric Functions: Angles of Any Magnitude (2 of 2: Obtuse & reflex angles)
Meanings of the Trigonometric Ratios (1 of 4: Re-introducing the Unit Circle)
Meanings of the Trigonometric Ratios (2 of 4: Why is one of them called "tangent"?)
Meanings of the Trigonometric Ratios (3 of 4: Why is one of them called "secant"?)
Meanings of the Trigonometric Ratios (4 of 4: Dynamic visualisation)
Y11 Maths Ext 1 Quiz (3 of 3: Graphs of Trig Functions)
Introduction to Radians (1 of 3: Comparing measurement systems)
Introduction to Radians (2 of 3: Developing an initial sense)
Introduction to Radians (3 of 3: Formal definition & conversion)
Exact Values (1 of 4: Radians vs. Degrees)
Exact Values (2 of 4: Solving a basic trigonometric equation)
Exact Values (3 of 4: Using the unit circle for trigonometry)
Exact Values (4 of 4: Why "tan" is short for "tangent")
Graphs of Basic Trigonometric Functions (1 of 3: Investigating the unit circle with spaghetti)
Graphs of Basic Trigonometric Functions (2 of 3: The features of trigonometric curves)
Graphs of Basic Trigonometric Functions (3 of 3: Graphing examples)
3D Trigonometry Example (1 of 2: Setting up the triangles)
3D Trigonometry Example (2 of 2: Combining the information)
3D Trig Three Observer Problem (1 of 4: Setting up the diagram)
3D Trig Three Observer Problem (2 of 4: Determining ground distances)
3D Trig Three Observer Problem (3 of 4: Calculating ground angles)
3D Trig Three Observer Problem (4 of 4: Resolving the ambiguous case)
Circular Measure: Arc Length, Sector & Segment Area Formulas
Sine Rule - example test question
Cosine Rule - example test question
Dartboard Question (1 of 2: Area)
Dartboard Question (2 of 2: Percentage & perimeter)
Measuring a Wedge
Trigonometry in Right Triangles (5 of 5: Applied problems)
Trigonometry in Right Triangles (4 of 5: Exact values & reciprocals)
Trigonometry in Right Triangles (3 of 5: Finding an angle)
Trigonometry in Right Triangles (2 of 5: Evaluating ratios & angles)
Trigonometry in Right Triangles (1 of 5: Reviewing the ratios)