NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Transformations of cot, sec and cosec curves and equations

Interactive practice questions

Consider the graph of $y=\csc x$y=cscx. Its first local minimum for $x\ge0$x0 is at $\left(\frac{\pi}{2},1\right)$(π2,1).

By considering the transformation that has taken place, state the coordinates of the first local minimum of each of the given functions for $x\ge0$x0.

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a

$y=5\csc x$y=5cscx

b

$y=-5\csc x$y=5cscx

c

$y=\csc x+2$y=cscx+2

Easy
Approx 4 minutes
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Consider the graph of $y=\sec x$y=secx. Its first local minimum for $x\ge0$x0 is at $\left(0,1\right)$(0,1).

By considering the transformation that has taken place, state the coordinates of the first local minimum of each of the given functions for $x\ge0$x0.

Determine the equation of the new function after performing the following transformations.

Determine the equation of the new function after performing the following transformations.

Outcomes

M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions

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