Drawing the tangent graph
I can draw the graph for the tangent trigonometric function.
Drawing the tangent graph
I can draw the graph for the tangent trigonometric function.
Lesson details
Key learning points
- The unit circle can help you predict what the tangent graph will look like
- The tangent graph has asymptotes
- The trigonometric functions have different periods.
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.
Keywords
Period (of a function) - For a repeating function, the period is the distance of one repetition of the entire function.
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).
Video
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Starter quiz
6 Questions
$$\sin(30°)$$ -
$$\frac{4.5}{9}$$
$$\cos(0°)$$ -
$$\frac{12}{12}$$
$$\sin(45°)$$ -
$$\frac{3}{3\sqrt{2}}$$
$$\sin(0°)$$ -
$$\frac{0}{12}$$
Exit quiz
6 Questions
$$\tan(0°)$$ -
0
$$\tan(30°)$$ -
$$\frac{\sqrt{3}}{3}$$
$$\tan(45°)$$ -
1
$$\tan(60°)$$ -
$$\sqrt{3}$$
$$\tan(90°)$$ -
Undefined
$$y=\sin(\theta°)$$ -
(90°, 1)
$$y=\cos(\theta°)$$ -
(0°, 1) and (360°, 1)
$$y=\tan(\theta°)$$ -
There are no local maximums.
$$y=\sin(\theta°)$$ -
(270°, -1)
$$y=\cos(\theta°)$$ -
(180°, -1)
$$y=\tan(\theta°)$$ -
There are no local minimums.