New Zealand
Level 8 - NCEA Level 3

# Amplitude of sine and cosine

## Interactive practice questions

Fill in the missing number.

a

What is the amplitude of the graphs of $y=\sin x$y=sinx and $y=\cos x$y=cosx?

b

What is the period of the graphs of $y=\sin x$y=sinx and $y=\cos x$y=cosx in radians?

Easy
Less than a minute

Consider the expression $\cos\theta$cosθ.

How does the graph of $y=4\cos x$y=4cosx differ from the graph of $y=\cos x$y=cosx?

Select all the correct options.

Is the following statement true or false?

"The amplitude of $y=5\cos x$y=5cosx is greater than the amplitude of $y=\cos x$y=cosx."

### Outcomes

#### M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions