OCR Maths Trigonometry Revision Notes
Master OCR 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 studies the relationships between the angles and sides of triangles. It is particularly useful in solving problems involving right-angled triangles and periodic phenomena.
Key Concepts
- 1Understanding the primary trigonometric ratios: sine, cosine, and tangent.
- 2Using the unit circle to define trigonometric functions for all angles.
- 3Applying the Pythagorean theorem in trigonometric contexts.
- 4Recognizing and using the sine and cosine rules for non-right-angled triangles.
- 5Solving real-world problems using trigonometric concepts.
Simple Explanation
Trigonometry helps us understand the relationships between the angles and sides of triangles. The main functions are sine, cosine, and tangent, which relate an angle to the ratios of the sides of a right triangle. We can use these functions to find unknown lengths or angles in triangles. Trigonometry is also used in various fields like physics, engineering, and astronomy.
Memory Trick
“Remember SOH-CAH-TOA: Sine = Opposite over Hypotenuse, Cosine = Adjacent over Hypotenuse, Tangent = Opposite over Adjacent.”
Flashcards
What is the sine of an angle?
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Exam Questions
Describe and explain the sine and cosine rules and their applications in solving triangles. [6 marks]
6 marksView mark scheme hint▾
Define the rules, provide examples of their application, and explain when to use each rule.
Explain how to use the unit circle to determine the values of trigonometric functions for angles greater than 90°. [4 marks]
4 marksView mark scheme hint▾
Discuss the unit circle, reference angles, and the signs of the functions in different quadrants.
What is meant by the term 'periodic function' in relation to trigonometric functions? [2 marks]
2 marksView mark scheme hint▾
Define periodic functions and give examples of trigonometric functions that exhibit this property.
Practice Quiz
What is the value of sin(30°)?
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