# The sine and cosine ratios

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

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.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:

# 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.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

# 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 and cosine ratio

Exit Quiz

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 ...................

1/7

Q2.What is the sine ratio of a right angled triangle with angle 30 degrees?

2/7

Q3.Which image shows the sides of the triangle correctly labelled (in relation to angle a)?

3/7

Q4.Complete the following: sine 30 = ..............

4/7

Q5.Make y the subject.

5/7

Q6.b = 14 cm when 𝑥 = ?

6/7

Q7.What is the length of the hypotenuse?

7/7

Quiz:

# The sine and cosine ratio

Exit Quiz

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 ...................

1/7

Q2.What is the sine ratio of a right angled triangle with angle 30 degrees?

2/7

Q3.Which image shows the sides of the triangle correctly labelled (in relation to angle a)?

3/7

Q4.Complete the following: sine 30 = ..............

4/7

Q5.Make y the subject.

5/7

Q6.b = 14 cm when 𝑥 = ?

6/7

Q7.What is the length of the hypotenuse?

7/7

# Lesson summary: The sine and cosine ratios

## 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:
Chair yoga