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CanadaON
Grade 12

Find the equation of a cot, sec and cosec curve

Interactive practice questions

Consider the graph below.

Loading Graph...

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
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
3min

Consider the graph below.

Easy
4min

Consider the graph below.

Easy
3min

Consider the graph below.

Easy
2min
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Outcomes

12F.B.2.3

Graph, with technology and using the primary trigonometric functions, the reciprocal trigonometric functions for angle measures expressed in radians, determine and describe key properties of the reciprocal functions, and recognize notations used to represent the reciprocal functions

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