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7.08 Circular functions: tangent

Interactive practice questions

Consider the graph of $y=\tan x$y=tanx

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State the $y$y-intercept of the graph.

Easy
< 1min

Consider the graph of $y=\tan x$y=tanx for $-2\pi\le x\le2\pi$2πx2π.

Easy
2min

What is the least positive value of $x$x for which $\tan x=0$tanx=0?

Give your answer in radians.

Easy
1min

Fill in the blank:

The graph of $\tan x$tanx _______ between any two successive vertical asymptotes.

Easy
< 1min
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Outcomes

1.2.1.4

examine transformations of the graphs of 𝑓(𝑥), including dilations and reflections, and the graphs of 𝑦=𝑎f(𝑥) and 𝑦=𝑓(𝑏x), translations, and the graphs of 𝑦=𝑓(𝑥+𝑐) and 𝑦=𝑓(𝑥)+𝑑; 𝑎,𝑏,𝑐,𝑑 ∈ R

2.3.2.1

understand the unit circle definition of cos(𝜃), sin(𝜃)and tan(𝜃) and periodicity using radians

2.3.2.3

sketch the graphs of 𝑦=sin(𝑥), 𝑦=cos(𝑥) , and 𝑦=tan(𝑥) on extended domains

2.3.2.4

investigate the effect of the parameters 𝐴,𝐵,𝐶 and 𝐷 on the graphs of 𝑦=𝐴sin(𝐵(𝑥+𝐶))+𝐷, 𝑦=𝐴cos(𝐵(𝑥+𝐶))+𝐷 with and without technology

2.3.2.5

sketch the graphs of 𝑦=𝐴sin(𝐵(𝑥+𝐶))+𝐷, 𝑦=𝐴cos(𝐵(𝑥+𝐶))+𝐷 with and without technology

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