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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

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

ACMMM025

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

ACMMM026

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

ACMMM034

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

ACMMM036

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

ACMMM038

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

ACMMM039

examine phase changes and the graphs of y=sin⁡(x+c), y=cos⁡(x+c) and y=tan⁡(x+c) and the relationships sin⁡(x+π/2)=cos⁡x and cos⁡(x−π/2)=sin⁡x

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