New Zealand
Level 8 - NCEA Level 3

# Find the equation of a cot, sec and cosec curve

## Interactive practice questions

Consider the graph below.

a

What is the equation of the asymptote shown?

b

Which key feature occurs at the point where $x=\frac{\pi}{2}$x=π2?

A point of inflection.

A

An asymptote.

B

A local minimum.

C

A local maximum.

D

A point of inflection.

A

An asymptote.

B

A local minimum.

C

A local maximum.

D
c

What is the period of this function?

d

Write down the equation of this function in the form $y=a\sec\left(bx\right)$y=asec(bx), $y=a\csc\left(bx\right)$y=acsc(bx) or $y=a\cot\left(bx\right)$y=acot(bx).

Easy
Approx 3 minutes

Consider the graph below.

Consider the graph below.

Consider the graph below.

### Outcomes

#### M8-2

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