Year 9

The sine and cosine ratios for 30 and 60 degrees

Year 9

The sine and cosine ratios for 30 and 60 degrees

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Lesson details

Key learning points

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

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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.

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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 ...................
Correct answer: cosine ratio
hypotenuse
sine ratio
Q2.
What is the sine ratio of a right angled triangle with angle 30 degrees?
0.2
Correct answer: 0.5
0.87
Q3.
Which image shows the sides of the triangle correctly labelled (in relation to angle a)?
Correct answer: Option 1
Option 2
Option 3
Q4.
Complete the following: sine 30 = ..............
cosine 30
Correct answer: cosine 60
sine 60
Q5.
Make y the subject.
An image in a quiz
Option 1
Correct answer: Option 2
Option 3
Q6.
b = 14 cm when 𝑥 = ?
An image in a quiz
15 degrees
30 degrees
Correct answer: 60 degrees
Q7.
What is the length of the hypotenuse?
An image in a quiz
17 cm
4.5 cm
Correct answer: 9 cm

7 Questions

Q1.
Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, opposite/ hypotenuse = .................
0.2
Correct answer: 0.5
0.87
Q2.
Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, opposite/ hypotenuse = .................
0.2
0.5
Correct answer: 0.87
Q3.
Complete the statement: In a right angled triangle that has an interior angle of 60 degrees, adjacent/ hypotenuse = .................
0.2
Correct answer: 0.5
0.87
Q4.
Complete the statement: In a right angled triangle that has an interior angle of 30 degrees, adjacent/ hypotenuse = .................
0.2
0.5
Correct answer: 0.87
Q5.
What is the length of side a?
An image in a quiz
Correct answer: 1.5 cm
3.4 cm
6 cm
Q6.
What is the length of side b?
An image in a quiz
10 cm
Correct answer: 14 cm
3.5 cm
Q7.
What is the size of angle a?
An image in a quiz
Correct answer: 30 degrees
45 degrees
60 degrees