Trigonometry

Here is a list of all of the skills that cover Trigonometry! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. BSM will track your score, and the questions will automatically increase in difficulty as you improve!

Counting Addition Subtraction Multiplication Division Patterns Comparing Fractions and rational numbers Decimal numbers and decimal fractions Estimation and rounding Geometry Algebra Place values Measurement Mixed operations Time Number sequences Number theory Money and consumer maths Percents Ratios and proportions Probability and statistics Graphs Integers Equations and inequations Word problems Trigonometry Exponents,indices and roots Functions Coordinate geometry Absolute value Properties Differential Complex Numbers Inverse And Joint Variation Sequences and Series Vectors
reception
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Year 7
Year 8
  • Identifying sine of 45-45-90 triangle
  • Identifying tangent 45-45-90 triangle
  • Identifying sine of 30-60-90 triangle
  • Identifying cosine 30-60-90 triangle
  • Identifying tangent 30-60-90 triangle
  • Defining parallel and transversal lines
Year 9
Year 10
  • Deriving the value of cosecant
  • Deriving the value of secant
  • Deriving the value of cotangent
  • Special Angles 45°-45°-90°
  • Special Angles 30°-60°-90°
  • Trigonometric ratios: sin, cos and tang
  • Trigonometric ratios: csc, sec and cot
  • Find trigonometric functions of special angles: sin, cos and tan
  • Find trigonometric functions of special angles: csc, sec and cot
  • Find trigonometric functions using a calculator
  • Trigonometric ratios: find a side length
  • Trigonometric ratios: find an angle measure
  • Solve a right triangle
  • Law of Sines
  • Law of Cosines
  • Solve a triangle
  • Area of a triangle : sine formula
Year 11
  • Measure Angles Using Degree Measure
  • Measure Angles Using Radian Measure
  • Find Coterminal Angles In Degree Measure
  • Complementary Angles In Radian Measure
  • Convert An Angle Measure From Degrees To Radians
  • The Directed Angles
  • Negative And Positive Angle
  • Standard Position288. Standard Position
  • Standard Position288. Standard Position
  • Coterminal Angles
  • The Principal Angles
  • Finding Principal Angles
  • Unit Circle And Quadrant
  • Quadrantal Angles
  • Trigonometric Value Of Reference Angles
  • Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖30〗^° (π/6 radian) Angle Measure On The Unit Circle
  • Use The Properties Of 45-45-90 Triangles To Find The Coordinate Points At The 〖45〗^° (π/4 radian) Angle Measure On The Unit Circle
  • Find Coterminal Angles In Radian Measure
  • Supplementary Angles In Radian Measure
  • Graph The Unit Circle
  • Convert An Angle Measure From Radians To Degrees
  • Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖60〗^° (π/3 radian) Angle Measure On The Unit Circle
  • Extend Your Knowledge Of The Coordinates At 〖30〗^°,〖45〗^° ,〖60〗^° Angles To Find Coordinates In The Other Three Quadrants Of The Unit Circle
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □sin sin θ =y
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □cos cos θ =x
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □tan tan θ =y/x
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □csc csc θ =1/y
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □sec sec θ =1/x
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □cot cot θ =x/y
  • Evaluate Trig Functions From Angle Measures On The Unit Circle
  • Evaluate Trigonometric Functions Of Acute Angles306. Evaluate Trigonometric Functions Of Acute Angles
  • Identify Congruent Figures
  • Identify Congruent Sides
  • Identify Congruent Angles
  • Verify Congruence In Terms Of Rigid Motion
  • Understand Angles Of Isosceles Triangles
  • Understand Sides Of Isosceles Triangles
  • Understand Angles Of Equilateral Triangles
  • Understand Sides Of Equilateral Triangles
  • Use The Isosceles Triangle Theorem To Solve Problems
  • Use The Converse Of The Isosceles Triangle Theorem To Solve Problems
  • Use The Properties Of Equilateral Triangles To Solve Problems
  • Understand The ASA (Angle-Side-Angle) Congruence Criterion
  • Use ASA (Angle-Side-Angle) To Solve Problems When The Congruence Criterion Is Met
  • Identify Corresponding Parts In Triangles
  • Identify Congruence In Overlapping Triangle
  • Identify Equidistant Points
  • Use The Perpendicular Bisector Theorem To Solve Problems
  • Use The Angle Bisector Theorem To Solve Problems
  • Identify The Circumcenters Of Triangles Via The Concurrency Of Perpendicular Bisectors
  • Use The Circumcenters Of Triangles To Solve Problems
  • Understand The Concurrency Of Angle Bisectors
  • Identify Incenters Of Triangles Via The Concurrency Of Angle Bisectors
  • Use The Incenters Of Triangles To Solve Problems
  • Identify Medians Of Triangles
  • Find The Length Of A Median
  • Identify Altitudes Of Triangles
  • Identify The Centroid Of A Triangle
  • Identify The Orthocenter Of A Triangle
  • Use The Triangle Inequality Theorem
  • Use Inequalities To Find Possible Side Lengths For One Side Of A Triangle When The Other Two Sides Are Unknown
  • Use The Hinge Theorem
  • Understand The Concurrency Of Perpendicular Bisectors Theorem
  • Use The Converse Of The Hinge Theorem
Year 12
  • Use Law Of Sines To Solve Oblique Triangles (AAS)
  • Use Law Of Sines To Solve Oblique Triangles (ASA)
  • Use Law Of Sines To Solve Oblique Triangle (The Ambiguous Case SSA - Single Solution)
  • Use Law Of Sines To Solve Oblique Triangle (The Ambiguous Case SSA - Two Solution)
  • Use Law Of Sines To Solve Oblique Triangle (The Ambiguous Case SSA - No Solution)
  • Find The Areas Of Oblique Triangles
  • Use Law Of Sines To Solve Real Life Problems
  • Use The Law Of Cosines To Solve Oblique Triangles (SSS)
  • Use The Law Of Cosines To Solve Oblique Triangles (SAS)
  • Use Law Of Cosines To Solve Real Life Problems
  • Use Heron’s Area Formula To Find Areas Of Triangles
  • Measure Angles Using Degree Measure
  • Measure Angles Using Radian Measure
  • Find Coterminal Angles In Degree Measure
  • Find Coterminal Angles In Radian Measure
  • Complementary Angles In Radian Measure
  • Supplementary Angles In Radian Measure
  • Convert An Angle Measure From Degrees To Radians
  • Convert An Angle Measure From Radians To Degrees
  • Find Arc Length
  • Find Linear Speed
  • Find Angular And Linear Speed
  • Find Area Of A Sector Of A Circle
  • Graph The Unit Circle
  • Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖30〗^° (π/6 radian) Angle Measure On The Unit Circle
  • Use The Properties Of 45-45-90 Triangles To Find The Coordinate Points At The 〖45〗^° (π/4 radian) Angle Measure On The Unit Circle
  • Use The Properties Of 30-60-90 Triangles To Find The Coordinate Points At The 〖60〗^° (π/3 radian) Angle Measure On The Unit Circle
  • Extend Your Knowledge Of The Coordinates At 〖30〗^°,〖45〗^° ,〖60〗^° Angles To Find Coordinates In The Other Three Quadrants Of The Unit Circle
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □sin sin θ =y
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □cos cos θ =x
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □tan tan θ =y/x
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □csc csc θ =1/y
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □sec sec θ =1/x
  • Understand That For Any Angle θ On The Unit Circle With Points (x,y), □cot cot θ =x/y
  • Evaluate Trig Functions From Angle Measures On The Unit Circle
  • Evaluate Trigonometric Functions Of Acute Angles