Prior Content: GCSE/IGCSE Basic Trigonometry, GCSE/IGCSE Advanced Trigonometry, GCSE/IGCSE Exact Trigonometry & Graphs
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Next Section: Trigonometry Part 2 Identities & Equations
Contents
- Whole Topic Notes
- 9A The Cosine Rule
- 9B The Sine Rule
- 9C The Sine Rule (Ambiguous Case)
- 9D Trigonometric Area Formula
- 9E Problem Solving With Trigonometry
- 9F The Trigonometric Graphs
- 9G Graphical Transformations of Trigonometric Graphs
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Trigonometry Section
- Dr Frost Trigonometric Ratios Slides
- Blank Notes to Follow Slides Word Doc & PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
9A The Cosine Rule
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (From 4:33 to 10:50)
Whole Topic Video (GCSE Angles) (From 7:33 to 11:48)
Whole Topic Video (GCSE Lengths) (From 4:52)
K636: Use the Cosine Rule to Find Unknown Sides in Non Right-Angled Triangles.
K637: Use the Cosine Rule to Find Unknown Angles in Non Right-Angled Triangles.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 636 Use the Cosine Rule to Find Unknown Sides in Non Right-Angled Triangles.
- 637 Use the Cosine Rule to Find Unknown Angles in Non Right-Angled Triangles.
- 795 Use the Cosine Rule to Find Missing Sides and Angles (Including the Ambiguous Case).
- Combination of All
Trigonometry Key Skills Section (for selecting more than one)
Trigonometry GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Cosine Rule Practice Strips (Editable Word | PDF | Answers)
- Finding Lengths Using Cosine Rule Fill In The Blanks (Editable Word | PDF | Answers)
- Finding Lengths Using Cosine Rule Practice Grid (Editable Word | PDF | Answers)
- Finding Angles Using Cosine Rule Fill In The Blanks (Editable Word | PDF | Answers)
- Finding Angles Using Cosine Rule Practice Grid (Editable Word | PDF | Answers)
- Maths Genie The Cosine Rule Booklet & Solutions (GCSE) – Last Q is Ambiguous Case
- Maths 4 Everyone Worksheet
- kutasoftware Worksheets
- The Law of Cosines 1
- The Law of Cosines 2 (Extends Into Area)
9B The Sine Rule
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (Up to 4:33 and then from 10:50 to 13:41)
Whole Topic Video (GCSE Angles) (Up to 4:31)
Whole Topic Video (GCSE Lengths) (Up to 4:52)
K633: Use the Sine Rule to Find Unknown Sides in Non Right-Angled Triangles.
K634: Use the Sine Rule to Find Acute Angles in Non Right-Angled Triangles.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 633 Use the Sine Rule to Find Unknown Sides in Non Right-Angled Triangles.
- 634 Use the Sine Rule to Find Acute Angles in Non Right-Angled Triangles.
- Combination of All
Trigonometry GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie (Up to 16:45)
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Median Don Steward Sine Rule
Worksheets
- Dr Austin Maths
- Sine Rule Practice Strips (Editable Word | PDF | Answers)
- Finding Lengths Using Sine Rule Fill In The Blanks (Editable Word | PDF | Answers)
- Finding Lengths Using Sine Rule Practice Grid (Editable Word | PDF | Answers)
- Finding Angles Using Sine Rule Fill In The Blanks (Editable Word | PDF | Answers)
- Finding Angles Using Sine Rule Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Maths Genie The Sine Rule Booklet & Solutions (GCSE) – Last Q is Ambiguous Case
- kutasoftware Worksheets
- The Law of Sines 1 (Extends Into Ambiguous Case & Area)
9C The Sine Rule (Ambiguous Case)
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (GCSE Angles) (From 4:31 to 7:33)
K635: Use the Sine Rule to Find Obtuse Angles in Non Right-Angled Triangles.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 635 Use the Sine Rule to Find Obtuse Angles in Non Right-Angled Triangles.
- 794 Use the Sine Rule to Find Missing Sides and Angles (Including the Ambiguous Case).
- Combination of All
Trigonometry Key Skills Section (for selecting more than one)
Trigonometry GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie (From 16:45)
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Maths Genie The Sine Rule Booklet & Solutions (GCSE) – Last Q is Ambiguous Case
- langy74 Sine Rule (Ambiguous Case) (TES Account Required)
- kutasoftware Worksheets
- The Law of Sines 2 (Extends Into Area)
9D Trigonometric Area Formula
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (From 13:41)
Whole Topic Video (GCSE)
K639: Find the Area of a Triangle Using Two Lengths and the Included Angle.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Test
- Standard Test (GCSE)
- Advanced Test (GCSE)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 639 Find the Area of a Triangle Using Two Lengths and the Included Angle.
Trigonometry GCSE Key Skills Section (for selecting more than one)
Practise Questions
- Practise Questions (GCSE)
Other resources
Other Videos
Courtesy of Maths Genie
9E Problem Solving With Trigonometry
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (GCSE Angles) (From 11:48)
K760: Use the Sine Rule and Cosine Rule Within a Single Triangle.
K640: Find the Area of a Triangle Using Two Lengths and an Angle Not Included Between the Two Sides.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
- Standard Test
- Advanced Test
- Standard Test (GCSE Angles)
- Advanced Test (GCSE Angles)
- Standard Test (GCSE Lengths)
- Advanced Test (GCSE Lengths)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 640 Find the Area of a Triangle Using Two Lengths and an Angle Not Included Between the Two Sides.
- K302d: Use the sine rule and cosine rule within a single triangle.
- K302e: Use sine and/or cosine rule to solve a multistep problem (two triangles)
Trigonometry GCSE Key Skills Section (for selecting more than one)
Practice Questions
- Practise Questions
- Practise Questions (GCSE Angles)
- Practise Questions (GCSE Lengths)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- UEA (Mixed Triangles Problems (Solution on Second Page)
Worksheets
9F The Trigonometric Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
- No Key Skills Yet
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Phet Trig Tour
- Similar to Above Ben Sparkes Geogebra Trigonometry Tracer
- Ben Sparkes Geogebra Circles within circles – Trigonometry
- Ben Sparkes Geogebra Circles?
- The Chalk Face Trig Graphs
Worksheets
- Corbettmaths
- Trigonometric Graphs Practice Questions & Solutions
- Graphs of Trigonometric Functions Worksheet & Solutions
- Trigonometric Graphs AQA Level Practice Questions & Solutions
- Maths Genie Harder Graphs: Trig/Exponential Booklet & Solutions (GCSE)
- SRWhitehouse Trigonometry activities (TES Account Required) Extends to Transformations
9G Graphical Transformations of Trigonometric Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
- Dr Frost Questions (Mainly translations)
Key Skills
- No Key Skills Yet
Practice Questions
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- The Chalk Face Trig Transformations Excel file
- Project Maths Introduction to Trigonometric Functions Basics drawing from scratch. Good for use if still struggling with transformations or Graph shapes.
- andy_gillen Trigonometric Graphs Guess Who (TES Account Required)
Worksheets
- Jethwa Maths Starter Activity (p5-6)
- Solomon C2 Trigonometry D Questions & Solutions (Q5 Onwards)
- kutasoftware Worksheets
- Graphing Trig Functions (Second Page in Radians)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Trigonometry
External Whole Topic Past Paper Style Questions
- Maths Genie Booklet & Solutions
- Jethwa Maths Worksheet, Topic Test
- Mathsaurus Mixed Exam Board PPQs & Video Solutions
- Naiker Maths Exam Qs (2005-2011) & (MS Pending)
- WW Dr Frost Style Test (Dr Frost Tests Contain A2 Content)
- PMT Lots of Materials from the Old Course in the Next Chapter Final Section