The sine and cosine ratios

The sine and cosine ratios

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Lesson details

Key learning points

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

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6 Questions

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 …………………...
adjacent
Correct answer: hypotenuse
opposite
Q2.
Which is the correct equation?
Option 1
Correct answer: Option 2
Option 3
Q3.
What is the length of the unknown side in the triangle below?
An image in a quiz
10 cm
Correct answer: 2.5 cm
5 cm
Q4.
Which image shows the hypotenuse correctly labelled?
Option 1
Option 2
Correct answer: Option 3
Q5.
Which triangle shows the adjacent side to angle a?
Option 1
Option 2
Correct answer: Option 3
Q6.
Which triangle shows the opposite side to angle a?
Option 1
Correct answer: Option 2
Option 3

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

Lesson appears in

UnitMaths / Surds and trigonometry