Year 9

Year 9

# The sine and cosine ratios

## Switch to our new maths teaching resources

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

## Lesson details

### Key learning points

1. In this lesson, we will explore trigonometric ratios focusing on sine and cosine.

### 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 gaps: In a right-angled triangle, the sine of an acute angle is equal to the length of the side that is opposite to the angle, divided by the length of the …………………...
opposite
Q2.
Which is the correct equation?
Option 1
Option 3
Q3.
What is the length of the unknown side in the triangle below?
10 cm
5 cm
Q4.
Which image shows the hypotenuse correctly labelled?
Option 1
Option 2
Q5.
Which triangle shows the adjacent side to angle a?
Option 1
Option 2
Q6.
Which triangle shows the opposite side to angle a?
Option 1
Option 3

## Exit quiz

Share with pupils

### 7 Questions

Q1.
Fill in the gaps: In a right-angled triangle, the ratio of the length of the side adjacent side to the length of the hypotenuse called the ...................
hypotenuse
sine ratio
Q2.
What is the sine ratio of a right angled triangle with angle 30 degrees?
0.2
0.87
Q3.
Which image shows the sides of the triangle correctly labelled (in relation to angle a)?
Option 2
Option 3
Q4.
Complete the following: sine 30 = ..............
cosine 30
sine 60
Q5.
Make y the subject.
Option 1