# The sine and cosine ratios

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## Lesson details

### Key learning points

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

### 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.

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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

opposite

Q2.

Which is the correct equation?

Option 1

Option 3

Q3.

What is the length of the unknown side in the triangle below?

10 cm

5 cm

Q4.

Which image shows the hypotenuse correctly labelled?

Option 1

Option 2

Q5.

Which triangle shows the adjacent side to angle a?

Option 1

Option 2

Q6.

Which triangle shows the opposite side to angle a?

Option 1

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 ...................

hypotenuse

sine ratio

Q2.

What is the sine ratio of a right angled triangle with angle 30 degrees?

0.2

0.87

Q3.

Which image shows the sides of the triangle correctly labelled (in relation to angle a)?

Option 2

Option 3

Q4.

Complete the following: sine 30 = ..............

cosine 30

sine 60

Q5.

Make y the subject.

Option 1

Option 3

Q6.

b = 14 cm when 𝑥 = ?

15 degrees

30 degrees

Q7.

What is the length of the hypotenuse?

17 cm

4.5 cm