4.6.3

Trigonometric Ratios

Test yourself on Trigonometric Ratios

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Trigonometry

Sin, cos and tan relate an angle and two sides in a right-angled triangle.

Formula triangles

Formula triangles

Formula triangles can be used to remember the ratios (SOH CAH TOA) and to rearrange the ratios so they can be used.
The side opposite the angle being used is referred to as the ‘opposite’ and the side next to the angle being used is called the ‘adjacent’.

Sin

Sin

Cos

Cos

Tan

Tan

1

Number

1.1

Place Value

1.1.1Ordering Numbers 1.1.2Ordering Numbers - Practice 1.1.3Comparing Numbers 1.1.4Comparing Numbers - Practice 1.1.5Equals Symbols 1.1.6Equals Symbols - Practice 1.1.7Adding Negative Numbers 1.1.8Adding Negative Numbers - Practice 1.1.9Subtracting Negative Numbers 1.1.10Multiplying Negative Numbers 1.1.11Dividing Negative Numbers 1.1.12End of Topic Test - Place Value

1.2

Factors & Multiples

1.2.1Factors 1.2.2Factors - Practice 1.2.3Prime Numbers 1.2.4Prime Numbers - Practice 1.2.5Multiples 1.2.6Multiples - Practice 1.2.7Prime Factors 1.2.8Prime Factors - Practice 1.2.9Highest Common Factors 1.2.10Highest Common Factors - Practice 1.2.11Highest Common Factor Prime Factors 1.2.12Highest Common Factor Prime Factors - Practice 1.2.13Lowest Common Multiples 1.2.14Lowest Common Multiples - Practice 1.2.15Lowest Common Multiples Prime Factors 1.2.16Lowest Common Multiples Prime Factors - Practice 1.2.17End of Topic Test - Factors & Multiples

1.3

Operations

1.4

Fractions, Decimals & Percentages

1.4.1Fractions 1.4.2Fractions - Practice 1.4.3Mixed & Improper Fractions 1.4.4Mixed & Improper Fractions - Practice 1.4.5Write 2 Numbers as Fractions 1.4.6Write 2 Numbers as Fractions - Practice 1.4.7Adding Fractions 1.4.8Adding Fractions - Practice 1.4.9Subtracting Fractions 1.4.10Multiplying Fractions 1.4.11Multiplying Fractions - Practice 1.4.12Dividing Fractions 1.4.13Finding Fractions 1.4.14Finding Fractions - Practice 1.4.15Improper & Mixed Fractions 1.4.16Decimal Place Value 1.4.17Decimal Place Value - Practice 1.4.18Fraction to Decimal 1.4.19Fraction to Decimal - Practice 1.4.20Find Percentage Unitary 1.4.21Find Percentage Unitary - Practice 1.4.22Fraction to Percentage 1.4.23Fraction to Percentage - Practice 1.4.24Percentage to Fraction 1.4.25Percentage to Decimal 1.4.26Percentage to Decimal - Practice 1.4.27Decimal to Percentage 1.4.28Decimal to Percentage - Practice 1.4.29Percentage using Decimal 1.4.30End of Topic Test - Fractions 1.4.31End of Topic Test - Decimals

1.5

Growth & Decay

1.5.1Population Growth 1.5.2Population Growth - Practice 1.5.3Compound Growth & Decay 1.5.4Compound Growth & Decay - Practice 1.5.5Compound Interest 1.5.6Compound Interest - Practice 1.5.7Compound Interest 2 1.5.8Compound Interest 2 - Practice 1.5.9Depreciation 1.5.10Depreciation - Practice 1.5.11End of Topic Test - Growth & Decay

1.6

Measurements & Units

1.6.1Standard Units 1 1.6.2Standard Units 1 - Practice 1.6.3Standard Units 2 1.6.4Standard Units 2 - Practice 1.6.5Standard Units 3 1.6.6Standard Units 3 - Practice 1.6.7Length 1.6.8Area 1.6.9Volume 1.6.10Capacity 1.6.11Time 1.6.12Time - Practice 1.6.13Money 1.6.14Mass 1.6.15End of Topic Test - Measurements & Units

1.7

Accuracy

1.7.1Decimal Rounding 1.7.2Decimal Rounding - Practice 1.7.3SigFig Rounding 1.7.4SigFig Rounding - Practice 1.7.5Estimations 1.7.6Estimations - Practice 1.7.7Upper Lower Bounds 1.7.8Upper Lower Bounds - Practice 1.7.9End of Topic Test - Accuracy

2

Algebra

2.1

Introduction to Algebra

2.1.1Algebra Basics 2.1.2Algebra Basics - Practice 2.1.3Algebraic Concepts 2.1.4Algebraic Concepts - Practice 2.1.5Writing Expressions 2.1.6Writing Expressions - Practice 2.1.7Collecting Terms 2.1.8Collecting Terms - Practice 2.1.9Common Factors 2.1.10Common Factors - Practice 2.1.11Expanding Brackets 2.1.12Expanding Brackets - Practice 2.1.13FOIL 2.1.14FOIL - Practice 2.1.15Rearranging Formulae 2.1.16Rearranging Formulae - Practice 2.1.17End of Topic Test - Introduction to Algebra

2.2

Graphs

2.2.1Coordinates 2.2.2Coordinates - Practice 2.2.3Gradient and Intercept 2.2.4Gradient and Intercept - Practice 2.2.5Calculate Gradient &Y-intercept 2.2.6Calculate Gradient & Y-intercept 2.2.7Finding Equation 2.2.8Finding Equation - Practice 2.2.9Quadratic Graphs 2.2.10Quadratic Graphs - Practice 2.2.11End of Topic Test - Graphs

2.3

Solving Equations

2.4

Sequences

2.4.1Arith & Geo Sequences 2.4.2Arith & Geo Sequences - Practice 2.4.3Key Sequences 2.4.4Key Sequences - Practice 2.4.5Nth Term Rules 2.4.6Nth Term Rules - Practice 2.4.7Find NthTerm in Linear Sequence 2.4.8Find NthTerm in Linear Sequence - Practice 2.4.9Find Nth Term in Quadratic Sequence 2.4.10Find Nth Term in Quadratic Sequence - Practice 2.4.11End of Topic Test - Sequences

3

Ratio, Proportion & Rates of Change

3.1

Manipulating Ratios

3.1.1Manipulating Ratios 3.1.2Manipulating Ratios - Practice 3.1.3Turn Ratios into Equations 3.1.4Turn Ratios into Equations - Practice 3.1.5Part:Part Ratio 3.1.6Part:Part Ratio - Practice 3.1.7Part:Whole Ratio 3.1.8Part:Whole Ratio - Practice 3.1.9Differences in Ratios 3.1.10Differences in Ratios - Practice 3.1.11Fractions in Ratios 3.1.12Fractions in Ratios - Practice 3.1.13Ratios to Fractions 3.1.14Ratios to Fractions - Practice 3.1.15End of Topic Test - Manipulating Ratios

3.2

Ratios in Practice

3.2.1Covert Units 3.2.2Covert Units - Practice 3.2.3Formula Triangles 3.2.4Formula Triangles - Practice 3.2.5Scale Factors 3.2.6Scale Factors - Practice 3.2.7Ratios in Shapes 3.2.8Ratios in Shapes - Practice 3.2.9End of Topic Test - Ratios

3.3

Percentage & Finance

3.3.1Percentage Increase/Decrease 3.3.2Percentage Increase/Decrease - Practice 3.3.3Percentage Change 3.3.4Percentage Change - Practice 3.3.5Original Value 3.3.6Original Value - Practice 3.3.7Profit, Interest & Discount 3.3.8Profit, Interest & Discount - Practice 3.3.9Simple Interest 3.3.10Simple Interest - Practice 3.3.11End of Topic Test - Percentage & Finance

3.4

Proportion

3.4.1Proportion 3.4.2Proportion - Practice 3.4.3Direct Proportion 3.4.4Direct Proportion - Practice 3.4.5Inverse Proportion 3.4.6Inverse Proportion - Practice 3.4.7End of Topic Test - Percentages & Proportion

4

Geometry & Measures

4.1

Introduction to Geometry

4.2

Ruler & Compass Constructions

4.2.1Midpoint 4.2.2Bisectors and Perpendiculars 4.2.3Loci 4.2.4End of Topic Test - Ruler & Compass Constructions

4.3

Perimeter & Area

4.3.1Perimeter 4.3.2Perimeter - Practice 4.3.3Area 4.3.4Area - Practice 4.3.5End of Topic Test - Perimeter & Area

4.4

Triangles, Quadrilaterals & Circles

4.5

Transformations

4.5.1Types of Transformations 4.5.2Types of Transformations - Practice 4.5.3Effects of Transformations 4.5.4Effects of Transformations - Practice 4.5.5End of Topic Test - Transformations

4.6

Triangle Formulae

4.6.1Pythagoras' Theorem 4.6.2Pythagoras' Theorem - Practice 4.6.3Trigonometric Ratios 4.6.4Trigonometric Ratios - Practice 4.6.5End of Topic Test - Triangle Formulae

4.7

3D Shapes

4.8

Vectors

4.8.1Vector Introduction 4.8.2Vector Introduction - Practice 4.8.3Vectors 4.8.4Vectors - Practice 4.8.5End of Topic Test - Vectors

5

Probability

5.1

Introduction to Probability

5.1.1Probability 5.1.2Probability - Practice 5.1.3Probability scale 5.1.4Probability Scale - Practice 5.1.5Randomness & Fairness 5.1.6Randomness & Fairness - Practice 5.1.7Sum of Probabilities 5.1.8Sum of Probabilities - Practice 5.1.9Relative & Expected Frequency 5.1.10Relative & Expected Frequency - Practice 5.1.11Frequency Tables 5.1.12Frequency Tables - Practice 5.1.13Use Frequency Trees 5.1.14Use Frequency Trees - Practice 5.1.15Complete Frequency Trees 5.1.16Complete Frequency Trees - Practice 5.1.17End of Topic Test - Probability

5.2

Representing Probability

5.2.1Sample Space Diagrams 5.2.2Sample Space Diagrams - Practice 5.2.3Sets 5.2.4Sets - Practice 5.2.5Venn Diagrams 5.2.6Venn Diagrams - Practice 5.2.7End of Topic Test - Representing Probability

5.3

Probability Calculations

5.3.1Theoretical Probability 5.3.2Theoretical Probability - Practice 5.3.3Venn Diagram Probabilities 5.3.4Venn Diagram Probabilities - Practice 5.3.5Multiple Events 5.3.6Multiple Events - Practice 5.3.7Dependent & Independent Events 5.3.8Dependent & Independent Events - Practice 5.3.9Calculating Probabilities 5.3.10Calculating Probabilities - Practice 5.3.11Complex Tree Diagrams 5.3.12Complex Tree Diagrams - Practice 5.3.13End of Topic Test - Probability

6

Statistics

Jump to other topics

1

Number

1.1

Place Value

1.1.1Ordering Numbers 1.1.2Ordering Numbers - Practice 1.1.3Comparing Numbers 1.1.4Comparing Numbers - Practice 1.1.5Equals Symbols 1.1.6Equals Symbols - Practice 1.1.7Adding Negative Numbers 1.1.8Adding Negative Numbers - Practice 1.1.9Subtracting Negative Numbers 1.1.10Multiplying Negative Numbers 1.1.11Dividing Negative Numbers 1.1.12End of Topic Test - Place Value

1.2

Factors & Multiples

1.2.1Factors 1.2.2Factors - Practice 1.2.3Prime Numbers 1.2.4Prime Numbers - Practice 1.2.5Multiples 1.2.6Multiples - Practice 1.2.7Prime Factors 1.2.8Prime Factors - Practice 1.2.9Highest Common Factors 1.2.10Highest Common Factors - Practice 1.2.11Highest Common Factor Prime Factors 1.2.12Highest Common Factor Prime Factors - Practice 1.2.13Lowest Common Multiples 1.2.14Lowest Common Multiples - Practice 1.2.15Lowest Common Multiples Prime Factors 1.2.16Lowest Common Multiples Prime Factors - Practice 1.2.17End of Topic Test - Factors & Multiples

1.3

Operations

1.4

Fractions, Decimals & Percentages

1.4.1Fractions 1.4.2Fractions - Practice 1.4.3Mixed & Improper Fractions 1.4.4Mixed & Improper Fractions - Practice 1.4.5Write 2 Numbers as Fractions 1.4.6Write 2 Numbers as Fractions - Practice 1.4.7Adding Fractions 1.4.8Adding Fractions - Practice 1.4.9Subtracting Fractions 1.4.10Multiplying Fractions 1.4.11Multiplying Fractions - Practice 1.4.12Dividing Fractions 1.4.13Finding Fractions 1.4.14Finding Fractions - Practice 1.4.15Improper & Mixed Fractions 1.4.16Decimal Place Value 1.4.17Decimal Place Value - Practice 1.4.18Fraction to Decimal 1.4.19Fraction to Decimal - Practice 1.4.20Find Percentage Unitary 1.4.21Find Percentage Unitary - Practice 1.4.22Fraction to Percentage 1.4.23Fraction to Percentage - Practice 1.4.24Percentage to Fraction 1.4.25Percentage to Decimal 1.4.26Percentage to Decimal - Practice 1.4.27Decimal to Percentage 1.4.28Decimal to Percentage - Practice 1.4.29Percentage using Decimal 1.4.30End of Topic Test - Fractions 1.4.31End of Topic Test - Decimals

1.5

Growth & Decay

1.5.1Population Growth 1.5.2Population Growth - Practice 1.5.3Compound Growth & Decay 1.5.4Compound Growth & Decay - Practice 1.5.5Compound Interest 1.5.6Compound Interest - Practice 1.5.7Compound Interest 2 1.5.8Compound Interest 2 - Practice 1.5.9Depreciation 1.5.10Depreciation - Practice 1.5.11End of Topic Test - Growth & Decay

1.6

Measurements & Units

1.6.1Standard Units 1 1.6.2Standard Units 1 - Practice 1.6.3Standard Units 2 1.6.4Standard Units 2 - Practice 1.6.5Standard Units 3 1.6.6Standard Units 3 - Practice 1.6.7Length 1.6.8Area 1.6.9Volume 1.6.10Capacity 1.6.11Time 1.6.12Time - Practice 1.6.13Money 1.6.14Mass 1.6.15End of Topic Test - Measurements & Units

1.7

Accuracy

1.7.1Decimal Rounding 1.7.2Decimal Rounding - Practice 1.7.3SigFig Rounding 1.7.4SigFig Rounding - Practice 1.7.5Estimations 1.7.6Estimations - Practice 1.7.7Upper Lower Bounds 1.7.8Upper Lower Bounds - Practice 1.7.9End of Topic Test - Accuracy

2

Algebra

2.1

Introduction to Algebra

2.1.1Algebra Basics 2.1.2Algebra Basics - Practice 2.1.3Algebraic Concepts 2.1.4Algebraic Concepts - Practice 2.1.5Writing Expressions 2.1.6Writing Expressions - Practice 2.1.7Collecting Terms 2.1.8Collecting Terms - Practice 2.1.9Common Factors 2.1.10Common Factors - Practice 2.1.11Expanding Brackets 2.1.12Expanding Brackets - Practice 2.1.13FOIL 2.1.14FOIL - Practice 2.1.15Rearranging Formulae 2.1.16Rearranging Formulae - Practice 2.1.17End of Topic Test - Introduction to Algebra

2.2

Graphs

2.2.1Coordinates 2.2.2Coordinates - Practice 2.2.3Gradient and Intercept 2.2.4Gradient and Intercept - Practice 2.2.5Calculate Gradient &Y-intercept 2.2.6Calculate Gradient & Y-intercept 2.2.7Finding Equation 2.2.8Finding Equation - Practice 2.2.9Quadratic Graphs 2.2.10Quadratic Graphs - Practice 2.2.11End of Topic Test - Graphs

2.3

Solving Equations

2.4

Sequences

2.4.1Arith & Geo Sequences 2.4.2Arith & Geo Sequences - Practice 2.4.3Key Sequences 2.4.4Key Sequences - Practice 2.4.5Nth Term Rules 2.4.6Nth Term Rules - Practice 2.4.7Find NthTerm in Linear Sequence 2.4.8Find NthTerm in Linear Sequence - Practice 2.4.9Find Nth Term in Quadratic Sequence 2.4.10Find Nth Term in Quadratic Sequence - Practice 2.4.11End of Topic Test - Sequences

3

Ratio, Proportion & Rates of Change

3.1

Manipulating Ratios

3.1.1Manipulating Ratios 3.1.2Manipulating Ratios - Practice 3.1.3Turn Ratios into Equations 3.1.4Turn Ratios into Equations - Practice 3.1.5Part:Part Ratio 3.1.6Part:Part Ratio - Practice 3.1.7Part:Whole Ratio 3.1.8Part:Whole Ratio - Practice 3.1.9Differences in Ratios 3.1.10Differences in Ratios - Practice 3.1.11Fractions in Ratios 3.1.12Fractions in Ratios - Practice 3.1.13Ratios to Fractions 3.1.14Ratios to Fractions - Practice 3.1.15End of Topic Test - Manipulating Ratios

3.2

Ratios in Practice

3.2.1Covert Units 3.2.2Covert Units - Practice 3.2.3Formula Triangles 3.2.4Formula Triangles - Practice 3.2.5Scale Factors 3.2.6Scale Factors - Practice 3.2.7Ratios in Shapes 3.2.8Ratios in Shapes - Practice 3.2.9End of Topic Test - Ratios

3.3

Percentage & Finance

3.3.1Percentage Increase/Decrease 3.3.2Percentage Increase/Decrease - Practice 3.3.3Percentage Change 3.3.4Percentage Change - Practice 3.3.5Original Value 3.3.6Original Value - Practice 3.3.7Profit, Interest & Discount 3.3.8Profit, Interest & Discount - Practice 3.3.9Simple Interest 3.3.10Simple Interest - Practice 3.3.11End of Topic Test - Percentage & Finance

3.4

Proportion

3.4.1Proportion 3.4.2Proportion - Practice 3.4.3Direct Proportion 3.4.4Direct Proportion - Practice 3.4.5Inverse Proportion 3.4.6Inverse Proportion - Practice 3.4.7End of Topic Test - Percentages & Proportion

4

Geometry & Measures

4.1

Introduction to Geometry

4.2

Ruler & Compass Constructions

4.2.1Midpoint 4.2.2Bisectors and Perpendiculars 4.2.3Loci 4.2.4End of Topic Test - Ruler & Compass Constructions

4.3

Perimeter & Area

4.3.1Perimeter 4.3.2Perimeter - Practice 4.3.3Area 4.3.4Area - Practice 4.3.5End of Topic Test - Perimeter & Area

4.4

Triangles, Quadrilaterals & Circles

4.5

Transformations

4.5.1Types of Transformations 4.5.2Types of Transformations - Practice 4.5.3Effects of Transformations 4.5.4Effects of Transformations - Practice 4.5.5End of Topic Test - Transformations

4.6

Triangle Formulae

4.6.1Pythagoras' Theorem 4.6.2Pythagoras' Theorem - Practice 4.6.3Trigonometric Ratios 4.6.4Trigonometric Ratios - Practice 4.6.5End of Topic Test - Triangle Formulae

4.7

3D Shapes

4.8

Vectors

4.8.1Vector Introduction 4.8.2Vector Introduction - Practice 4.8.3Vectors 4.8.4Vectors - Practice 4.8.5End of Topic Test - Vectors

5

Probability

5.1

Introduction to Probability

5.1.1Probability 5.1.2Probability - Practice 5.1.3Probability scale 5.1.4Probability Scale - Practice 5.1.5Randomness & Fairness 5.1.6Randomness & Fairness - Practice 5.1.7Sum of Probabilities 5.1.8Sum of Probabilities - Practice 5.1.9Relative & Expected Frequency 5.1.10Relative & Expected Frequency - Practice 5.1.11Frequency Tables 5.1.12Frequency Tables - Practice 5.1.13Use Frequency Trees 5.1.14Use Frequency Trees - Practice 5.1.15Complete Frequency Trees 5.1.16Complete Frequency Trees - Practice 5.1.17End of Topic Test - Probability

5.2

Representing Probability

5.2.1Sample Space Diagrams 5.2.2Sample Space Diagrams - Practice 5.2.3Sets 5.2.4Sets - Practice 5.2.5Venn Diagrams 5.2.6Venn Diagrams - Practice 5.2.7End of Topic Test - Representing Probability

5.3

Probability Calculations

5.3.1Theoretical Probability 5.3.2Theoretical Probability - Practice 5.3.3Venn Diagram Probabilities 5.3.4Venn Diagram Probabilities - Practice 5.3.5Multiple Events 5.3.6Multiple Events - Practice 5.3.7Dependent & Independent Events 5.3.8Dependent & Independent Events - Practice 5.3.9Calculating Probabilities 5.3.10Calculating Probabilities - Practice 5.3.11Complex Tree Diagrams 5.3.12Complex Tree Diagrams - Practice 5.3.13End of Topic Test - Probability

6

Statistics

Practice questions on Trigonometric Ratios

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1
For opposite ÷ adjacent, which trig function should we use?Multiple choice
2
For opposite ÷ hypotenuse, which trig function should we use?Multiple choice

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Pythagoras' Theorem - Practice

Trigonometric Ratios - Practice