The sine and cosine ratios for 30 and 60 degrees

The sine and cosine ratios for 30 and 60 degrees

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.

Licence

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.

Loading...

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

Lesson appears in

UnitMaths / Surds and trigonometry