Level 4 · Mathematics M4.3
Pythagoras and trigonometry
Find missing sides and angles in triangles, starting with right angled ones.
Learn why the squares on the sides of a right angled triangle add up, and use that to find lengths. Then meet sine, cosine and tangent, find sides and angles with a calculator, learn the exact values for 30°, 45° and 60°, and solve any triangle with the sine rule, the cosine rule, area and bearings.
8 chapters. Your place is kept on this device only.
You are ready for this book if
You can solve 3x = 12 and work out √(9 + 16).
- One step up M5.3 Trigonometric functions
- This book M4.3 Pythagoras and trigonometry
- One step down M3.5 Angles, triangles and symmetry
Contents
- 1Pythagoras' theorem, readunderstood
- 2Using Pythagoras, readunderstood
- 3Opposite, adjacent and hypotenuse, readunderstood
- 4Sine, cosine and tangent, readunderstood
- 5Finding angles, readunderstood
- 6Exact values, readunderstood
- 7The sine rule and the cosine rule, readunderstood
- 8Area of any triangle, and bearings, readunderstood
Keep it, print it, pass it on
- One file for any phone
776 KB. Opens with no internet. Share it with anyone. - PDF to print
747 KB, 111 A4 pages. Answers at the back. Copies well in black and white. - EPUB for reading apps
133 KB. For e-readers and book apps.
For parents and teachers
For learners who can solve 3x = 12, work out √(9 + 16) and recognise a right angle. In many schools this fits teenagers of about 14 to 16, and adults who want to refresh triangle sums can start here too. Each chapter takes one or two sessions. A learner needs a scientific calculator, set to degrees. A learner can work alone: every exercise has its answer and the reason for it.
Strand: Shape and space. Written and drawn by attnom. Free to read, print and share.