New Zealand
Level 8 - NCEA Level 3

# Key features of sine and cosine curves

## Interactive practice questions

Consider the curve $y=\sin x$y=sinx drawn below and answer the following questions.

a

What is the $y$y-intercept? Give your answer as coordinates in the form $\left(a,b\right)$(a,b).

b

What is the maximum $y$y-value?

c

What is the minimum $y$y-value?

Easy
Less than a minute

Consider the curve $y=\cos x$y=cosx drawn below and answer the following questions.

Consider the curve $y=\sin x$y=sinx drawn below and determine whether the following statements are true or false.

Consider the curve $y=\cos x$y=cosx drawn below and determine whether the following statements are true or false.

### Outcomes

#### M8-2

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