Topics
7. Trigonometry
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iGCSE (2021 Edition)

7.12 Period and phase shifts of trigonometric graphs

Lesson
Worksheet
Practice

Interactive practice questions

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

a

Graph the function on the axes below.

Loading Graph...
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

Consider the function $y=2\sin3x$y=2sin3x.

Easy
1min
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Outcomes

0606C1.3

Understand the relationship between y = f(x) and y = |f(x)|, where f(x) may be linear, quadratic or trigonometric.

0606C10.2

Understand amplitude and periodicity and the relationship between graphs of related trigonometric functions, e.g. sin x and sin 2x.

0606C10.3

Draw and use the graphs of y = asinbx + c, y = acos bx + c, y = atan bx + c where a is a positive integer, b is a simple fraction or integer (fractions will have a denominator of 2, 3, 4, 6 or 8 only), and c is an integer.

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