# Sine and cosine graphs

## Lesson details

### Key learning points

1. In this lesson, we will look at the graphs made by the sine and cosine functions and compare them to highlight similarities and differences.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

Share with pupils

## Worksheet

Share with pupils

## Starter quiz

Share with pupils

### 6 Questions

Q1.
Fill in the gap: You can use the inverse sine function to work out the unknown angle, when given the opposite and ................. in a right- angled triangle.
symmetry
Q2.
Fill in the gap: You can use the inverse cosine function to work out the unknown angle, when given the hypotenuse and ................. in a right- angled triangle.
opposite
symmetry
Q3.
Use the sine ratio to find out the missing angle in the triangle shown below.
15 degrees
Correct answer: 30 degrees
45 degrees
60 degrees
Q4.
Which is the correct method to work out the missing angle?
Pythagoras
Sine
Q5.
Which is the correct method to work out the missing angle?
Cosine
Pythagoras
Q6.
Which is the correct method to work out the length of missing side?
Pythagoras
Sine

## Exit quiz

Share with pupils

### 7 Questions

Q1.
The image below shows the graph of ......
Correct answer: Cosine x
Sine x
Q2.
The image below shows the graph of ......
Cosine x
Correct answer: Sine x
Q3.
Use the graph to give an approximate value for sin (40).
0.68
6.4
6.8
Q4.
Use the graph to give an approximate value for cos (80).
0.1
0.2
Q5.
Which statement is correct?
cos 30 = cos 90
cos 30 = sin 30
Correct answer: cos 60 = sin 30
Q6.
Is this true or false? sin 90 = 1
False