topic badge

2.02 Period and phase shifts of trigonometric graphs

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.

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

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

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MA12-1

uses detailed algebraic and graphical techniques to critically construct, model and evaluate arguments in a range of familiar and unfamiliar contexts

MA12-5

applies the concepts and techniques of periodic functions in the solution of problems involving trigonometric graphs

What is Mathspace

About Mathspace