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Grade 12

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
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
Easy
< 1min

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

Easy
1min

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

Easy
< 1min

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

Easy
2min
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Outcomes

12F.B.2.4

Determine the amplitude, period, and phase shift of sinusoidal functions whose equations are given in the form f(x) = a sin (k(x – d)) + c or f(x) = a cos(k(x – d)) + c, with angles expressed in radians

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