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AustraliaVIC
VCE 12 Methods 2023

3.03 Tangent functions

Interactive practice questions

Consider the graph of $y=\tan x$y=tanx given below.

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a

Using the graph, what is the sign of $\tan\frac{9\pi}{5}$tan9π5?

Positive

A

Negative

B
b

Which quadrant does an angle with measure $\frac{9\pi}{5}$9π5 lie in?

Quadrant $IV$IV

A

Quadrant $II$II

B

Quadrant $I$I

C

Quadrant $III$III

D
Easy
< 1min

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

Easy
2min

Consider the expression $\tan\theta$tanθ.

Easy
10min

Find the exact value of the following trigonometric ratios.

Easy
3min
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Outcomes

U34.AoS1.14

identify key features and properties of the graph of a function or relation and draw the graphs of specified functions and relations, clearly identifying their key features and properties, including any vertical or horizontal asymptotes

U34.AoS1.10

the concepts of domain, maximal domain, range and asymptotic behaviour of functions

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