Level 7 - NCEA Level 2

Finding equations of sine and cosine curves

Interactive practice questions

Determine the equation of the graphed function given that it is of the form $y=a\sin x$y=asinx or $y=a\cos x$y=acosx, where $x$x is in degrees.

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A Cartesian plane is depicted, with the x-axis ranging from 0 to 360, labeled at intervals of 90, and the y-axis ranging from

-3

3

, labeled at intervals of 1. A sinusoidal wave passing through (0,

2

) is plotted on the plane with peaks at

2

and

-2

. The cycle ends every 360, however this is not explicitly labeled.

Easy

1min

Determine the equation of the graphed function given that it is of the form $y=a\sin x$y=asinx or $y=a\cos x$y=acosx, where $x$x is in degrees.

Easy

< 1min

Determine the equation of the graphed function given that it is of the form $y=c+\cos x$y=c+cosx or $y=c+\sin x$y=c+sinx, where $x$x is in degrees.

Easy

< 1min

Determine the equation of the graphed function given that it is of the form $y=c+\cos x$y=c+cosx or $y=c+\sin x$y=c+sinx, where $x$x is in degrees.

Easy

< 1min

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

Finding equations of sine and cosine curves

Interactive practice questions

Outcomes

M7-2

91257

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