Mr R-C's Classes
  • Home
  • IGCSE
    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous Equations
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 2 - Graphs and GDC
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
      • Unit 7 - Quadratic Equations
      • Unit 8 - Tree Diagrams
      • Unit 9 - Coordinate Geometry
      • Unit 10 - Sequences
      • Unit 11 - Statistical Diagrams
      • Unit 12 - Composite and Inverse Functions
      • Unit 13 - Similarity
      • Unit 14 - Variation
      • Unit 15 - Algebraic Fractions
      • Unit 16 - Advanced Trigonometry
      • Unit 17 - Quadratic Functions
      • Unit 18 - Volumes and Surface Area
      • Unit 19 - Graphs
      • Unit 20 - Logarithms
      • Unit 21 - Transforming Graphs
    • IGCSE Revision Materials
  • IB
    • Mathematics AI SL >
      • AISL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Statistics
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Functions and Modelling
        • Unit 5 - Calculus
        • Unit 6 - Probability
      • AISL Revision Materials
    • Mathematics AA SL >
      • AASL Unit Resources >
        • Unit 0 - Proof
        • Unit 1 - Algebra Functions Basics
        • Unit 2 - Functions, Equations and Inequalities
        • Unit 3 - Sequences and Series
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Trigonometric Functions and Equations
        • Unit 6 - Differentiation 1
        • Unit 7 - Statistics
        • Unit 8 - Probability
        • Unit 9 - Mensuration
        • Unit 10 - Differentiation 2
        • Unit 11 - Integration
      • AASL Revision Materials
      • AASL Key Skills Generator
    • Mathematics AA HL >
      • AAHL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Functions
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Differential Calculus
        • Unit 5 - Integral Calculus
        • Unit 6 - Statistics
        • Unit 7 - Probability
        • Unit 8 - Limits and Differential Equations
        • Unit 9 - Vectors
        • Unit 10 - Complex Numbers
      • AAHL Revision Materials
    • IB Legacy Courses >
      • Mathematical Studies >
        • MSSL Unit Resources >
          • Unit 1 - Number Review
          • Unit 2 - Sequences and Series
          • Unit 3 - Statistics 1
          • Unit 4 - Functions 1
          • Unit 5 - Trigonometry and Mensurations
          • Unit 6 - Functions 2
          • Unit 7 - Statistics 2
          • Unit 8 - Differentiation
          • Unit 9 - Sets and Probability
          • Unit 10 - Functions 3
          • Unit 11 - Financial Maths
          • Unit 12 - Statistics 3
          • Unit 13 - Logic
        • IB Studies Revision Homework
        • MSSL Revision Materials
        • Studies Exam Question Practice
      • Mathematics Higher Level >
        • HL Unit Resources >
          • Unit 1 - Algebra
          • Unit 2 - Functions & Equations
          • Unit 3 - Trigonometry
          • Unit 4 - Exponentials and Logarithms
          • Unit 5 - Statistics and Probability
          • Unit 6 - Differential Calculus
          • Unit 7 - Discrete Probability Distributions
          • Unit 8 - Integral Calculus
          • Unit 9 - Continuous Probability Distributions
          • Unit 10 - Complex Numbers
          • Unit 11A - Statistics Option
          • Unit 11B - Sets and Groups Option
          • Unit 12 - Vectors
        • HL Revision Materials >
          • HL Weekly Quizzes

Unit 3 - Trigonometry

Unit Objectives
Prior Knowledge:
  • Right angled Trigonometry
  • Sine and Cosine rules and area of triangle formula
By the end of this unit students should be able to:
  • Understand and use radian measure
  • Solve problems of arcs and sectors
  • Solve triangles including ambiguous cases
  • Use the six trigonometric functions
  • Know the exact values of sin, cos and tan of 0, π/6,  π/4,  π/3,  π/2 etc
  • Use given trigonometric identities
  • Use compound and double angle identities
  • Solve trigonometric equations
  • Transform trigonometric graphs
  • Use inverse functions arcsin, arccos and arctan, their domains, ranges and graphs
Lesson Resources​
1. Radians, Arcs and Sectors
Lesson Sheet
Lesson Sheet Complete
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2. Unit Circle
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Lesson Sheet Complete
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3. Exact Values
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Lesson Sheet Complete
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4. ​Reciprocal Trig Functions
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5. Trig Identities
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Lesson Sheet Complete
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Worksheet
6. Compound Angle Formulae
Lesson Sheet
Lesson Sheet Complete
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7. ​Double Angle Formulae
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Lesson Sheet Complete
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8. Trig Graphs
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Lesson Sheet Complete
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Investigation
9. Modelling With Trig Graphs
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Lesson Sheet Complete
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Worksheet
10. Reciprocal Trig Graphs
Lesson Sheet
Lesson Sheet Complete
11. Inverse Trig Functions
Lesson Sheet
Lesson Sheet Complete
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Worksheet
12. Trig Equations
Lesson Sheet
Lesson Sheet Complete
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Worksheet
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13. Harder Trig Equations
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Lesson Sheet Complete
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Worksheet
14. Cosine Rule, Sine Rule and Area of a Triangle
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Lesson Sheet Complete
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For a whole range of mathematical activities for use in and out of the classroom, including random question generators, Bingo generators and worksheet generators, as well as computer based investigations and activities check out my main site: www.interactive-maths.com.

​If you are interested in codes, ciphers and codebreaking, then check out my secondary site, Crypto Corner, dedicated to providing information about all types of ciphers, as well as tools for encrypting, decrypting and breaking messages.
  • Home
  • IGCSE
    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous Equations
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 2 - Graphs and GDC
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
      • Unit 7 - Quadratic Equations
      • Unit 8 - Tree Diagrams
      • Unit 9 - Coordinate Geometry
      • Unit 10 - Sequences
      • Unit 11 - Statistical Diagrams
      • Unit 12 - Composite and Inverse Functions
      • Unit 13 - Similarity
      • Unit 14 - Variation
      • Unit 15 - Algebraic Fractions
      • Unit 16 - Advanced Trigonometry
      • Unit 17 - Quadratic Functions
      • Unit 18 - Volumes and Surface Area
      • Unit 19 - Graphs
      • Unit 20 - Logarithms
      • Unit 21 - Transforming Graphs
    • IGCSE Revision Materials
  • IB
    • Mathematics AI SL >
      • AISL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Statistics
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Functions and Modelling
        • Unit 5 - Calculus
        • Unit 6 - Probability
      • AISL Revision Materials
    • Mathematics AA SL >
      • AASL Unit Resources >
        • Unit 0 - Proof
        • Unit 1 - Algebra Functions Basics
        • Unit 2 - Functions, Equations and Inequalities
        • Unit 3 - Sequences and Series
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Trigonometric Functions and Equations
        • Unit 6 - Differentiation 1
        • Unit 7 - Statistics
        • Unit 8 - Probability
        • Unit 9 - Mensuration
        • Unit 10 - Differentiation 2
        • Unit 11 - Integration
      • AASL Revision Materials
      • AASL Key Skills Generator
    • Mathematics AA HL >
      • AAHL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Functions
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Differential Calculus
        • Unit 5 - Integral Calculus
        • Unit 6 - Statistics
        • Unit 7 - Probability
        • Unit 8 - Limits and Differential Equations
        • Unit 9 - Vectors
        • Unit 10 - Complex Numbers
      • AAHL Revision Materials
    • IB Legacy Courses >
      • Mathematical Studies >
        • MSSL Unit Resources >
          • Unit 1 - Number Review
          • Unit 2 - Sequences and Series
          • Unit 3 - Statistics 1
          • Unit 4 - Functions 1
          • Unit 5 - Trigonometry and Mensurations
          • Unit 6 - Functions 2
          • Unit 7 - Statistics 2
          • Unit 8 - Differentiation
          • Unit 9 - Sets and Probability
          • Unit 10 - Functions 3
          • Unit 11 - Financial Maths
          • Unit 12 - Statistics 3
          • Unit 13 - Logic
        • IB Studies Revision Homework
        • MSSL Revision Materials
        • Studies Exam Question Practice
      • Mathematics Higher Level >
        • HL Unit Resources >
          • Unit 1 - Algebra
          • Unit 2 - Functions & Equations
          • Unit 3 - Trigonometry
          • Unit 4 - Exponentials and Logarithms
          • Unit 5 - Statistics and Probability
          • Unit 6 - Differential Calculus
          • Unit 7 - Discrete Probability Distributions
          • Unit 8 - Integral Calculus
          • Unit 9 - Continuous Probability Distributions
          • Unit 10 - Complex Numbers
          • Unit 11A - Statistics Option
          • Unit 11B - Sets and Groups Option
          • Unit 12 - Vectors
        • HL Revision Materials >
          • HL Weekly Quizzes