What you need to know
Check yourself against these “I can” statements.
- I can use sin θ, cos θ and tan θ for any angle in degrees (Further Maths)
- I can explain and use tan θ = sin θ/cos θ (Further Maths)
- I can explain and use sin²θ + cos²θ = 1 (Further Maths)
- I can solve trigonometric equations in a given range (Further Maths)
- I can use trigonometry to solve problems in 2D and 3D (Further Maths)
Practise this topic
18 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…
⚙️ WorksheetRight-Angled Trigonometry: Mixed Problems
Sides and angles in right-angled triangles, with diagrams drawn to scale and worked solutions one triangle at a time: finding a side or an angle with and without a diagram, two steps, isosceles triangles and trapezia, elevation…
⚙️ WorksheetTrig & Bounds
Upper and lower bounds with sin, cos, tan and the sine/cosine rules. Eight difficulty levels, timed, click to reveal.
⚙️ WorksheetTrig Equations
Solve for 0° ≤ x ≤ 360°. Levels: Basic (sin x = k), Factorise, Using tan (tan x = sin x ÷ cos x), Quadratics, and sin² + cos² = 1. Five levels, timed, click to reveal.
⚙️ WorksheetTrig Equations: sin(ax + b)
The Trig Equations levels with sin ax, cos ax and tan ax, each followed by the same with sin(ax + b): find every value of θ = ax + b in the stretched range, then work out x. Ten levels, timed, click to reveal.
⚙️ WorksheetTrig Identity Proofs
Prove identities using sin²θ + cos²θ ≡ 1 and tan θ ≡ sin θ / cos θ: one-, two-, three- and four-step proofs, each step with its reason, then decide whether a statement is always, sometimes or never true and explain why. Five…
⬢ 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…
🔤 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.
⬢ BlockbustersRight-Angled Trigonometry: Mixed Problems Blockbusters
Blockbusters with the questions from the Right-Angled Trigonometry: Mixed Problems worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🧩 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…
🧩 ConnectionsSimplifying Trig (sin, cos, tan)
Sixteen expressions in sin x, cos x and tan x: find the four that simplify to the same thing, using tan x = sin x ÷ cos x and sin²x + cos²x = 1.
🔗 MatchingTransforming Trig Graphs: Matching
Twelve graphs of sin x, cos x and tan x (0° to 360°), each with a key point marked, in look-alike pairs: drag each equation onto its graph. Easy: one transformation each. Medium: two, never both inside the brackets. Hard: 24…
⬢ 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.
⬢ BlockbustersTrig Equations Blockbusters
Blockbusters with the questions from the Trig Equations 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.
⬢ BlockbustersTrig Equations: sin(ax + b) Blockbusters
Blockbusters with the questions from the Trig Equations: sin(ax + b) 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…
🧩 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).
⬢ BlockbustersTrig Identity Proofs Blockbusters
Blockbusters with the questions from the Trig Identity Proofs 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…
🧮 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 Trigonometry 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.