MA16-06 Maths Coming soon
Trigonometric Graphs: sin, cos and tan
MA16-06
This lesson is coming soon.
In this lesson
Recognise, sketch and interpret the graphs of y=sin x, y=cos x and y=tan x for angles of any size, as continuous curves rather than plotted points.
What it covers
- The base, untransformed shapes of y=sin x, y=cos x and y=tan x across a full domain (e.g. 0 to 360 degrees and beyond)
- Where each curve starts, its maximum/minimum values, its period (repeat length), and where it crosses the x-axis
- The specific starting-value distinction between sin x (starts at 0) and cos x (starts at its maximum), since this is the documented confusion point
- Sketching as a smooth continuous curve rather than a series of plotted, unjoined points, per the command word 'sketch'
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A12 | Recognise, sketch and interpret graphs of linear functions and quadratic functions |
| Edexcel GCSE 1MA1 | A12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x with x ≠ 0 |
| Eduqas GCSE C300 | HA12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x, with x ≠ 0, exponential functions y = kˣ for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size |
| OCR GCSE J560 | 7.01e | Recognise and sketch the graphs of y = sin x , y = cos x and y = tan x . |
| Edexcel IGCSE 4MA1 | H3.3A | Recognise, plot and draw graphs with equation: y = Ax³ + Bx² + Cx + D in which: (i) the constants are integers and some could be zero (ii) the letters x and y can be replaced with any other two letters or: y = Ax³ + Bx² + Cx + D + E/x + F/x² in which: (i) the constants are numerical and at least three of them are zero (ii) the letters x and y can be replaced with any other two letters or: y = sin x, y = cos x, y = tan x for angles of any size (in degrees) |
| Cambridge IGCSE 0580 | E6.4 | Trigonometric functions |
For teachers
This GCSE Maths lesson teaches trigonometric Graphs: sin, cos and tan. By the end, students should be able to recognise, sketch and interpret the graphs of y=sin x, y=cos x and y=tan x for angles of any size, as continuous curves rather than plotted points. It works through two worked examples and the mistakes examiners report.