# The sine ratio

In this lesson, we will develop an understanding of trigonometric ratios focusing on sine.

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.a is half the size of the hypotenuse when 𝑥 = ?

1/6

Q2.b = 10 cm when 𝑥 = ?

2/6

Q3.What is the size of the angle marked x ?

3/6

Q4.What is the length of the hypotenuse?

4/6

Q5.What is the length of angle x?

5/6

Q6.What is the size of angle x?

6/6

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.a is half the size of the hypotenuse when 𝑥 = ?

1/6

Q2.b = 10 cm when 𝑥 = ?

2/6

Q3.What is the size of the angle marked x ?

3/6

Q4.What is the length of the hypotenuse?

4/6

Q5.What is the length of angle x?

5/6

Q6.What is the size of angle x?

6/6

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

Quiz:

# The sine ratio

Exit Quiz

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 …………………...

1/6

Q2.Which is the correct equation?

2/6

Q3.What is the length of the unknown side in the triangle below?

3/6

Q4.Which image shows the hypotenuse correctly labelled?

4/6

Q5.Which triangle shows the adjacent side to angle a?

5/6

Q6.Which triangle shows the opposite side to angle a?

6/6

Quiz:

# The sine ratio

Exit Quiz

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 …………………...

1/6

Q2.Which is the correct equation?

2/6

Q3.What is the length of the unknown side in the triangle below?

3/6

Q4.Which image shows the hypotenuse correctly labelled?

4/6

Q5.Which triangle shows the adjacent side to angle a?

5/6

Q6.Which triangle shows the opposite side to angle a?

6/6

# Lesson summary: The sine ratio

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Dance