GCSEMaths

GCSE Maths Trigonometry Revision Notes

Master GCSE Maths Trigonometry using simple revision notes, key facts and practice questions — all generated by AI for your exam.

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right-angled triangles. It helps us understand how to calculate unknown lengths and angles using ratios.

Key Concepts

  • 1Sine, cosine, and tangent are the primary trigonometric ratios.
  • 2SOH-CAH-TOA is a useful mnemonic for remembering these ratios.
  • 3The sine ratio is opposite over hypotenuse.
  • 4The cosine ratio is adjacent over hypotenuse.
  • 5The tangent ratio is opposite over adjacent.

Simple Explanation

Trigonometry helps us find missing angles or sides in right-angled triangles. We use three main ratios: sine, cosine, and tangent. Sine relates the angle to the opposite side and hypotenuse, cosine relates the angle to the adjacent side and hypotenuse, and tangent relates the angle to the opposite and adjacent sides. By knowing one angle and one side, we can use these ratios to find the others.

Memory Trick

SOH-CAH-TOA: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Flashcards

Question1 / 5

What does SOH stand for?

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Exam Questions

Describe and explain the sine, cosine, and tangent ratios in right-angled triangles. [6 marks]

6 marks
View mark scheme hint

Define each ratio, provide examples, and explain their applications.

Explain how to find the length of a side using the sine ratio. [4 marks]

4 marks
View mark scheme hint

Describe the formula and give an example.

What is meant by 'trigonometric ratios'? [2 marks]

2 marks
View mark scheme hint

Define trigonometric ratios and list the three main ones.

Practice Quiz

Question 1 of 5Score: 0

What is the sine of a 30-degree angle?

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