The CAST Diagram | My Maths Guy

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Trigonometry

Getting Started

What is Trigonometry? (10:45)

Pythagoras' Theorem

Starting Pythagoras’ Theorem (8:18)
Finding a Missing Side of a Right-Angled Triangle (9:32)
The Converse of Pythagoras’ Theorem (7:30)
Practice Questions

Trigonometry with Right-Angled Triangles

The Trigonometric Ratios (7:51)
The Trigonometric Ratios – Finding Missing Sides (11:54)
The Trigonometric Ratios – Finding Missing Angles (11:47)
Practice Questions

Trigonometric Functions

The Unit Circle (10:14)
The Unit Circle Definitions of the Trig Functions (12:17)
The Graph of the Sine Function (9:52)
The Graph of the Cosine Function (9:30)
The Graph of the Tangent Function (8:21)
The CAST Diagram (10:07)
CAST Diagram in Radians (7:38)
Practice Questions

Graphs of Transformed Trigonometric Functions

Moving Graphs Horizontally (13:33)
Moving Graphs Vertically (12:53)
Stretching / Compressing Graphs Horizontally (13:45)
Stretching / Compressing Graphs Vertically (12:08)
Inverting Graphs of Trigonometric Functions (9:16)
Combining Graph Transformations of Trigonometric Functions (14:48)
Practice Questions

Reciprocal Trigonometric Functions & Their Graphs

The Secant Function (12:29)
The Cosecant Function (12:59)
The Cotangent Function (12:17)
Practice Questions

Trigonometry with General Triangles

Starting The Sine and Cosine Rules (7:15)
Using the Sine Rule to Find Missing Angles (11:20)
Using the Sine Rule to Find Missing Sides (8:13)
Using the Cosine Rule for Missing Angles (9:41)
Using the Cosine Rule for Missing Sides (8:04)
Practice Questions

Radians and Trigonometric Exact Values

Starting Radians (6:10)
Using Radians (10:24)
Trigonometric Exact Values for Common Angles (10:16)
Trigonometric Exact Values for Multiples of Common Angles (9:54)
Practice Questions

Trigonometric Identities

The Trigonometric Double Angle Formulas (8:49)
Using The Trigonometric Double Angle Formulas (12:51)
The Trigonometric Addition Formulas (9:43)
The Wave Function (13:27)
Using The Trigonometric Addition Formulas (15:56)
Proving Trigonometric Identities (10:49)
Trigonometric Identities for Secant, Cosecant and Cotangent (12:34)
Practice Questions

Solving Basic Trigonometric Equations

Graphical Interpretation of Trigonometric Equations (15:31)
Solving Trigonometric Equations Using a Calculator in Degrees (11:06)
Solving Trigonometric Equations Using a Calculator in Radians (10:44)
Solving Trigonometric Equations Using Exact Values in Degrees (10:44)
Solving Trigonometric Equations Using Exact Values in Radians (12:42)
Practice Questions

Additional Resources

Formula List
Trigonometric Function Graphs

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The CAST Diagram

Students will use the CAST diagram to make sense of values of the Trigonometric functions.

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