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5.08 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

Select the correct domain of $y=\tan x$y=tanx.

Easy
< 1min

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

Easy
2min

We are going to draw the graph of $y=\tan\left(x-45^\circ\right)$y=tan(x45°).

Easy
8min
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Outcomes

1.2.7

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

1.1.26

examine translations and the graphs of y=f(x)+a and y=f(x-b)

1.1.27

examine dilations and the graphs of y=c f(x) and y=f(dx)

1.2.9

recognise the graphs of y=sin⁡x,y=cos⁡x, and y=tan⁡x on extended domains

1.2.11

examine period changes and the graphs of y=sin ⁡bx,y=cos bx, and y=tan ⁡bx

1.2.12

examine phase changes and the graphs of y=sin⁡(x-c), y=cos⁡(x-c) and y=tan⁡(x-c)

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