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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
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
