Drawing the sine and cosine graphs
I can draw the graphs for the trigonometric functions sine and cosine.
Drawing the sine and cosine graphs
I can draw the graphs for the trigonometric functions sine and cosine.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The unit circle can help you predict what the graphs of the trigonometric functions will look like
- The sine and cosine graphs have y values between −1 and 1
Keywords
Trigonometric functions - Trigonometric functions are commonly defined as ratios of two sides of a right-angled triangle for a given angle.
Sine function - The sine of an angle (sin(θ°)) is the y-coordinate of point P on the triangle formed inside the unit circle.
Cosine function - The cosine of an angle (cos(θ°)) is the x-coordinate of point P on the triangle formed inside the unit circle.
Common misconception
Pupils may have their calculator set to radians instead of degrees.
The first check for understanding is designed to catch this but it is worth checking that the correct unit of measurement is being used throughout the lesson.
To help you plan your year 11 maths lesson on: Drawing the sine and cosine graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Drawing the sine and cosine graphs, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Non right-angled trigonometry unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
The sine of an angle is the -
$$y$$-coordinate (P) on the triangle formed inside the unit circle.
The cosine of an angle is the -
$$x$$-coordinate (P) on the triangle formed inside the unit circle.
The tangent is the -
line that intersects the circle exactly once.
0 -
$$\sin(0°)$$
0.5 -
$$\sin(30°)$$
$$\frac{\sqrt{2}}{2}$$ -
$$\sin(45°)$$
$$\frac{\sqrt{3}}{2}$$ -
$$\sin(60°)$$
1 -
$$\sin(90°)$$
0.985 (3 s.f) -
$$\sin(100°)$$
1 -
$$\cos(0°)$$
$$\frac{\sqrt{3}}{2}$$ -
$$\cos(30°)$$
$$\frac{\sqrt{2}}{2}$$ -
$$\cos(45°)$$
0.5 -
$$\cos(60°)$$
0 -
$$\cos(90°)$$
-0.174 (3 s.f) -
$$\cos(100°)$$
Exit quiz
6 Questions
