Year 9

# Sine and cosine graphs

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## Lesson details

### Key learning points

- In this lesson, we will look at the graphs made by the sine and cosine functions and compare them to highlight similarities and differences.

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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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### 6 Questions

Q1.

Fill in the gap: You can use the inverse sine function to work out the unknown angle, when given the opposite and ................. in a right- angled triangle.

adjacent

symmetry

Q2.

Fill in the gap: You can use the inverse cosine function to work out the unknown angle, when given the hypotenuse and ................. in a right- angled triangle.

opposite

symmetry

Q3.

Use the sine ratio to find out the missing angle in the triangle shown below.

15 degrees

45 degrees

60 degrees

Q4.

Which is the correct method to work out the missing angle?

Pythagoras

Sine

Q5.

Which is the correct method to work out the missing angle?

Cosine

Pythagoras

Q6.

Which is the correct method to work out the length of missing side?

Pythagoras

Sine

### 7 Questions

Q1.

The image below shows the graph of ......

Quadratic

Sine x

Q2.

The image below shows the graph of ......

Cosine x

Q3.

Use the graph to give an approximate value for sin (40).

0.68

6.4

6.8

Q4.

Use the graph to give an approximate value for cos (80).

0.1

0.2

Q5.

Which statement is correct?

cos 30 = cos 90

cos 30 = sin 30

Q6.

Is this true or false? sin 90 = 1

False

Q7.

Is this true or false? Cos 90 = 1

True