What you need to know
Check yourself against these “I can” statements.
- I can sketch the graphs of y = sin x, y = cos x and y = tan x
Practise this topic
7 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…
⚙️ WorksheetProperties of the Trig Graphs
The graphs of y = sin x, y = cos x and y = tan x in degrees: which graph is which, key features (period, maximum and minimum, where they cross the axes, asymptotes, range of values), the unit circle (P = (cos θ, sin θ), tan θ as…
⚙️ WorksheetRelated Trig Values
Given sin, cos or tan of one angle to 3 decimal places, with its graph, find the value at a related angle. Nine levels: adding 360°, secondary values for sin (180° − x), for cos (360° − x and −x), for sin, cos and tan, negative…
🧮 ToolDrawing Trig Graphs
Draw y = sin x, y = cos x or y = tan x step by step on the board: choose the range (from −720° to 720°) and every 15°, 30°, 45° or 90°, click each box of the table of values to show its value to 2 decimal places (or show the next…
⬢ 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…
🔗 MatchingTypes of Graph: Matching
Match each equation to its graph: straight lines, horizontal and vertical lines, quadratics, cubics, quartics, reciprocals, exponentials, circles and trig graphs. KS3, GCSE and A Level buttons pick the types and level, and the…
🧮 ToolUnit Circle and Trig Graphs
Drag P round the unit circle (or press Play) and watch its height draw the graph of sin θ beside it; for cos θ the graph is turned to sit under the circle with its θ-axis pointing down, so the distance across lines up, with the…
These are the pages for The graphs of sin, cos and tan in the GCSE + AQA Level 2 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.