# The sine and cosine ratios for 30 and 60 degrees

In this lesson, we will learn how to find missing sides and angles in triangles using sine and cosine for 30 and 60 degrees.

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 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:

# 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 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

# 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:

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# 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 for 30 and 60 degrees

Exit Quiz

Q1.Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, opposite/ hypotenuse = .................

1/7

Q2.Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, opposite/ hypotenuse = .................

2/7

Q3.Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, adjacent/ hypotenuse = .................

3/7

Q4.Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, adjacent/ hypotenuse = .................

4/7

Q5.What is the length of side a?

5/7

Q6.What is the length of side b?

6/7

Q7.What is the size of angle a?

7/7

Quiz:

# The sine and cosine for 30 and 60 degrees

Exit Quiz

Q1.Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, opposite/ hypotenuse = .................

1/7

Q2.Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, opposite/ hypotenuse = .................

2/7

Q3.Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, adjacent/ hypotenuse = .................

3/7

Q4.Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, adjacent/ hypotenuse = .................

4/7

Q5.What is the length of side a?

5/7

Q6.What is the length of side b?

6/7

Q7.What is the size of angle a?

7/7

# Lesson summary: The sine and cosine ratios for 30 and 60 degrees

## Time to move!

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

For 5 mins...

Move around:
Jog

On the spot:
Dance