Trigonometry and Measure of Angles

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Curated by: Eddie Woo (63 videos)

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Currently Playing: The Basic Trig Ratios & their Reciprocals

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Tracks in this Playlist

• 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)