What you need to know
Check yourself against these “I can” statements.
- I can find the area of any triangle using ½ab sin C
- I can use the sine rule and the cosine rule to find missing sides and angles
- I can prove the sine rule, cosine rule and area formula
- I can solve bearings problems using trigonometry in any triangle
- I can find the angle between a line and a plane in 3D (Further Maths)
Practise this topic
14 resources3D Trigonometry
Cuboids and right pyramids: Pythagoras twice, the angle between two lines (cuboid, then pyramid), the angle between a line and a plane or between two planes (cuboid, then pyramid), the sine and cosine rules in 3D, then pyramids…
⚙️ WorksheetBearings
Scale drawings (answers within 2° and 5%), back bearings and angles from parallel north lines, right-angled trigonometry, the sine and cosine rules, then harder problems mixing them. A diagram with every question. Five levels…
⚙️ WorksheetSine Rule, Cosine Rule and Area
Area = ½ab sin C, the cosine rule (a side or an angle), the sine rule, two-step problems (the angle not opposite a known side, or the side next to the angle), deciding whether it is the ambiguous case and why (including no…
⚙️ WorksheetTrig & Bounds
Upper and lower bounds with sin, cos, tan and the sine/cosine rules. Eight difficulty levels, timed, click to reveal.
⬢ Blockbusters3D Trigonometry Blockbusters
Blockbusters with the questions from the 3D Trigonometry 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 choice.
🧮 Tool3D Trigonometry Builder
Build a 3D diagram and find the right-angled triangle inside it: cuboids, triangular prisms (wedges), rectangular pyramids, tetrahedra, cylinders, cones, spheres and hemispheres, with their dimensions, joined up to three at a…
⬢ BlockbustersBearings Blockbusters
Blockbusters with the questions from the Bearings 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 choice.
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
🧮 ToolFormula Sheet
Make a printable formula sheet: tick the shapes you want (2D area, perimeter and arc length, volume, surface area, and sector, arc and segment in radians), the eight circle theorems with diagrams, the GCSE formulae sheet…
🔗 MatchingProving the Sine Rule, Cosine Rule and Area Formula: Ordering
Put the steps of each proof in order: area = ½ab sin C, the sine rule and the cosine rule, each with its diagram. Any order where every step follows from the ones before it is accepted. Prints as a worksheet with answers.
🧮 ToolShape Formulas
Animated visual proofs of the area, volume and surface area formulae: drag the bar (or press Play) to turn each shape step by step into one whose area or volume we already know, with a caption for each step and the formula built…
⬢ BlockbustersSine Rule, Cosine Rule and Area Blockbusters
Blockbusters with the questions from the Sine Rule, Cosine Rule and Area 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…
⬢ BlockbustersTrig & Bounds Blockbusters
Blockbusters with the questions from the Trig & Bounds 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 choice.
🧮 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…
These are the pages for Sine and Cosine Rules & Area of a triangle in the GCSE + AQA Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.