Trigonometric Graphs

NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Domain and range of sine and cosine curves

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

Easy

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