Sine and cosine graphs

Sine and cosine graphs

warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

Lesson details

Key learning points

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

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...

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
Correct answer: hypotenuse
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.
Correct answer: adjacent
opposite
symmetry
Q3.
Use the sine ratio to find out the missing angle in the triangle shown below.
An image in a quiz
15 degrees
Correct answer: 30 degrees
45 degrees
60 degrees
Q4.
Which is the correct method to work out the missing angle?
An image in a quiz
Correct answer: Cosine
Pythagoras
Sine
Q5.
Which is the correct method to work out the missing angle?
An image in a quiz
Cosine
Pythagoras
Correct answer: Sine
Q6.
Which is the correct method to work out the length of missing side?
An image in a quiz
Correct answer: Cosine
Pythagoras
Sine

7 Questions

Q1.
The image below shows the graph of ......
An image in a quiz
Correct answer: Cosine x
Quadratic
Sine x
Q2.
The image below shows the graph of ......
An image in a quiz
Cosine x
Correct answer: Sine x
Q3.
Use the graph to give an approximate value for sin (40).
An image in a quiz
Correct answer: 0.64
0.68
6.4
6.8
Q4.
Use the graph to give an approximate value for cos (80).
An image in a quiz
0.1
Correct answer: 0.18
0.2
Q5.
Which statement is correct?
cos 30 = cos 90
cos 30 = sin 30
Correct answer: cos 60 = sin 30
Q6.
Is this true or false? sin 90 = 1
False
Correct answer: True
Q7.
Is this true or false? Cos 90 = 1
Correct answer: False
True

Lesson appears in

UnitMaths / Surds and trigonometry