Finding missing sides using sine and cosine for any angle

In this lesson, we will learn how to find missing sides using sine and cosine for any angle.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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!

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

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

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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!

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

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

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.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Finding missing sides using sine and cosine for any angle

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Q1.What is the length of side marked q ?

1/7

Q2.What is the length of the side marked r ?

2/7

Q3.What is the correct step for calculating the length of side b?

3/7

Q4.What is the length of of b correct to 1 decimal place?

4/7

Q5.What is the correct step for calculating the length of side a?

5/7

Q6.What is the length of a, correct to 1 decimal place?

6/7

Q7.Which ratio would you use to find the length of the missing side in the triangle below?

7/7

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Finding missing sides using sine and cosine for any angle

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Q1.What is the length of side marked q ?

1/7

Q2.What is the length of the side marked r ?

2/7

Q3.What is the correct step for calculating the length of side b?

3/7

Q4.What is the length of of b correct to 1 decimal place?

4/7

Q5.What is the correct step for calculating the length of side a?

5/7

Q6.What is the length of a, correct to 1 decimal place?

6/7

Q7.Which ratio would you use to find the length of the missing side in the triangle below?

7/7

Lesson summary: Finding missing sides using sine and cosine for any angle

It looks like you have not completed one of the quizzes.

To share your results with your teacher please complete one of the quizzes.