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Grade 12

Domain and range of sine and cosine curves CHECK#

Interactive practice questions

What is the domain of the sine function?

$[$[$0,360$0,360$]$]

A

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

B

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

C

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

D
Easy
< 1min

What is the range of the sine function?

Easy
< 1min

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

Easy
1min

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

Easy
1min
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Outcomes

12CT.C.2.5

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, and sketch graphs of y = a sin (k(x – d)) + c and y = a cos (k(x – d)) + c by applying transformations to the graphs of f(x) = sin x and f(x) = cos x

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