NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Domain and range of sine and cosine curves

Interactive practice questions

Answer the following.

a

The domain of both the sine and cosine functions is:

$[$[$-1,1$1,1$]$]

A

$[$[$0,\infty$0,$)$)

B

$\left(-\infty,\infty\right)$(,)

C

$[$[$0,2\pi$0,2π$]$]

D

$[$[$-1,1$1,1$]$]

A

$[$[$0,\infty$0,$)$)

B

$\left(-\infty,\infty\right)$(,)

C

$[$[$0,2\pi$0,2π$]$]

D
b

The range of both the sine and cosine functions is:

$[$[$-2\pi,2\pi$2π,2π$]$]

A

$[$[$-1,1$1,1$]$]

B

$\left(-\infty,\infty\right)$(,)

C

$[$[$0,2\pi$0,2π$]$]

D

$[$[$-2\pi,2\pi$2π,2π$]$]

A

$[$[$-1,1$1,1$]$]

B

$\left(-\infty,\infty\right)$(,)

C

$[$[$0,2\pi$0,2π$]$]

D
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Consider the function $y=-3\sin x$y=3sinx, where $x$x is in radians.

Consider the function $y=-2\cos x$y=2cosx, where $x$x is in radians.

Consider the function $y=5\sin2x$y=5sin2x, where $x$x is in radians.

Outcomes

M8-2

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

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