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iGCSE (2021 Edition)

21.03 Period of sine and cosine functions

Interactive practice questions

Consider the function $y=\sin2x-2$y=sin2x2, where $x$x is in radians.

a

Graph the function on the axes below.

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b

State the domain of the function in interval notation.

c

State the range of the function in interval notation.

Easy
2min

Consider the functions $f\left(x\right)=\cos x$f(x)=cosx and $g\left(x\right)=\cos4x$g(x)=cos4x.

Easy
5min

Consider the function $y=\tan2x$y=tan2x.

Answer the following questions in radians, where appropriate.

Easy
4min

Which of the following is the graph of $y=\sin\left(x+\frac{\pi}{2}\right)$y=sin(x+π2)?

Easy
< 1min
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Outcomes

0607E3.2G

Recognition of trigonometric, f(x) = a sin(bx); a cos(bx); tan x, function types from the shape of their graphs.

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