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This lesson covers Trigonometry as required by the A-Level Mathematics Pure 1 specification. Trigonometry extends beyond right-angled triangles to include trigonometric functions, identities, equations, radians, and the sine and cosine rules. This topic is fundamental and appears in many areas of A-Level Mathematics, including calculus and mechanics.
You must know the exact values of sine, cosine, and tangent for key angles:
| Angle | sin θ | cos θ | tan θ |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 | √3/2 | 1/√3 = √3/3 |
| 45° | √2/2 | √2/2 | 1 |
| 60° | √3/2 | 1/2 | √3 |
| 90° | 1 | 0 | undefined |
Exam Tip: These exact values frequently appear in exam questions. Memorise them and be prepared to use them without a calculator.
Radians are an alternative unit for measuring angles. One complete revolution = 2π radians.
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