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.
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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.
Keywords
Period (of a function) - For a repeating function, the period is the distance of one repetition of the entire function.
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 tangent graph, 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 tangent graph, 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.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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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
$$\sin(30°)$$ -
$$\frac{4.5}{9}$$
$$\cos(0°)$$ -
$$\frac{12}{12}$$
$$\sin(45°)$$ -
$$\frac{3}{3\sqrt{2}}$$
$$\sin(0°)$$ -
$$\frac{0}{12}$$
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.