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VCE 11 Methods 2023

8.12 Applications of trigonometric functions

Interactive practice questions

Determine the equation of the graph given that it is of the form $y=\sin\left(x+c\right)+d$y=sin(x+c)+d, where $c$c is the least positive value and $x$x is in radians.

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Easy
2min

Determine the equation of the graph given that it is of the form $y=a\cos\left(x-c\right)$y=acos(xc), where $c$c is the least positive value and $x$x is in radians.

Easy
1min

Determine the equation of the graph given that it is of the form $y=-\sin\left(x-c\right)-d$y=sin(xc)d, where $c$c is the least positive value and $x$x is in radians.

Easy
2min

Determine the equation of the graph given that it is of the form $y=-\cos\left(x+c\right)-d$y=cos(x+c)d, where $c$c is the least positive value and $x$x is in radians.

Easy
1min
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Outcomes

U2.AoS1.6

simple applications of sine and cosine functions of the above form, with examples from various modelling contexts, the interpretation of period, amplitude and mean value in these contexts and their relationship to theparameters A,n and c

U2.AoS1.16

characteristics of data which suggest the use of sine, cosine, exponential or logarithmic functions as an appropriate type of model for a given context

U2.AoS1.22

recognise characteristics of data which suggest that a circular or exponential function is an appropriate model for the data

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