What you need to know
Check yourself against these “I can” statements.
- I can use the cosine rule and the sine rule to find missing sides and angles
- I can find the area of any triangle using ½ab sin C
- I can solve problems involving triangles, including the ambiguous case
- I can sketch the graphs of sin, cos and tan and simple transformations of them
Practise this topic
9 resourcesExact Trig Values
sin, cos and tan of 0°, 30°, 45°, 60° and 90°, then obtuse, reflex and angles over 360°, considering the graphs. Levels 5 and 6: given one ratio (e.g. sin x = 3/5) and the range of x, find another. Six levels, timed, click to…
⚙️ WorksheetTrigonometric Ratios: Spot the Mistake
A student’s working with a mistake a real student would make (or, about 1 in 8 times, no mistake at all): tap the line you think is wrong, or No mistake, then reveal it, the corrected working and why. One level for each part of…
⬢ BlockbustersExact Trig Values Blockbusters
Blockbusters with the questions from the Exact Trig Values worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple…
🧮 ToolGraph Plotter
A graphing calculator: type y = f(x), x = g(y), implicit relations such as x² + y² = 25, inequalities (shaded, dashed for < and solid for ≤), parametric and polar curves, points and tables, functions f(x) = … with f′(x), and…
🧩 ConnectionsSame Angle (sin, cos, tan)
Sixteen statements such as cos(x + 180°) = 4/5 or sin(180° − x) = 3/5. Each group of four describes the same angle, which could be in any quadrant; you are not told which. Consider the graphs and the triangle to find the one way…
🧩 ConnectionsTrig Exact Values (sin, cos, tan)
Sixteen sin, cos and tan expressions, four values. Easy: special angles such as 30° and 150°. Standard: angles like 37°, linked by the symmetry of the graphs. Hard: identities too (tan x = sin x ÷ cos x, sin²x + cos²x = 1).
📋 Unit reviewTrigonometric Ratios: Exam Questions
Exam-style questions on the whole Trigonometric Ratios chapter, researched from real papers, with mark schemes in the examination’s notation (M, A, B, dM, ft, cso and the AO codes): the sine and cosine rules, the ambiguous case…
⬢ BlockbustersTrigonometric Ratios: Spot the Mistake Blockbusters
Blockbusters with the questions from the Trigonometric Ratios: Spot the Mistake worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
Topics in this unit
- 9.1 The cosine rule · 3 resources
- 9.2 The sine rule · 3 resources
- 9.3 Areas of triangles · 3 resources
- 9.4 Solving triangle problems · 2 resources
- 9.5 Graphs of sine, cosine and tangent · 2 resources
- 9.6 Transforming trigonometric graphs · 3 resources
These are the pages for Trigonometric ratios in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.