A-Level Maths Trigonometry Revision Notes
Master A-Level Maths Trigonometry using simple revision notes, key facts and practice questions — all generated by AI for your exam.
Trigonometry is the branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right-angled triangles. It is fundamental in various fields, including physics, engineering, and computer science.
Key Concepts
- 1Understanding the primary trigonometric ratios: sine, cosine, and tangent.
- 2The unit circle and its significance in defining trigonometric functions.
- 3The Pythagorean identity and its applications.
- 4Graphing trigonometric functions and understanding their periodic nature.
- 5Solving trigonometric equations and applying identities.
Simple Explanation
Trigonometry helps us relate the angles of a triangle to the lengths of its sides. The main functions we use are sine, cosine, and tangent, which are ratios of the triangle's sides. By using these functions, we can find unknown angles or lengths in triangles. It also involves understanding how these functions behave on a graph.
Memory Trick
“SOH-CAH-TOA: This helps remember the definitions of sine (SOH: Sine = Opposite/Hypotenuse), cosine (CAH: Cosine = Adjacent/Hypotenuse), and tangent (TOA: Tangent = Opposite/Adjacent).”
Flashcards
What is the sine of an angle?
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Exam Questions
Describe and explain the unit circle and its significance in trigonometry. [6 marks]
6 marksView mark scheme hint▾
Explain the definition, how angles are represented, and the coordinates of key points.
Explain how to solve a trigonometric equation using identities. [4 marks]
4 marksView mark scheme hint▾
Discuss the use of identities and steps to isolate the variable.
What is meant by the term 'periodic function' in trigonometry? [2 marks]
2 marksView mark scheme hint▾
Define periodicity and give examples of periodic functions.
Practice Quiz
What is the sine of 30 degrees?
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