topic badge
iGCSE (2021 Edition)

27.04 Period of sine and cosine functions (Extended)

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

0580E6.3A

Recognise, sketch and interpret graphs of simple trigonometric functions. Graph and know the properties of trigonometric functions.

What is Mathspace

About Mathspace