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 the 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 can be applied in various fields such as physics, engineering, and architecture.
Key Concepts
- 1The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan).
- 2The Pythagorean theorem relates the sides of a right triangle: a² + b² = c².
- 3The unit circle is a fundamental concept in trigonometry, where angles are measured in radians.
- 4Trigonometric identities, such as sin²θ + cos²θ = 1, are essential for simplifying expressions.
- 5Inverse trigonometric functions are used to find angles when the ratios are known.
Simple Explanation
Trigonometry helps us understand the relationships in triangles, especially right-angled ones. The main functions—sine, cosine, and tangent—relate the angles of the triangle to the lengths of its sides. We can use these functions to solve for unknown sides or angles. Additionally, there are important rules and identities that help us simplify and solve trigonometric equations.
Memory Trick
“Remember 'SOH-CAH-TOA' to recall the definitions of sine, cosine, and tangent: Sine is Opposite over Hypotenuse, Cosine is Adjacent over Hypotenuse, and Tangent is Opposite over Adjacent.”
Flashcards
What is the sine of an angle?
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Exam Questions
Describe and explain the sine, cosine, and tangent functions. [6 marks]
6 marksView mark scheme hint▾
Define each function, provide the ratios, and give examples of their use.
Explain how to use the Pythagorean theorem in trigonometry. [4 marks]
4 marksView mark scheme hint▾
Describe the theorem and its application in finding unknown sides.
What is meant by the term 'unit circle'? [2 marks]
2 marksView mark scheme hint▾
Define the unit circle and explain its significance in trigonometry.
Practice Quiz
What is the sine of 30 degrees?
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