The facts you need to know for A Level pure maths
| Question | Sketch \(f(x)=\sec x\) on the domain \(0\leq x\leq 2\pi\) |
| Answer | Label \(1\) and \(-1\) on the vertical axis.Vertical asymptotes at \(x=\frac{\pi}{2}\) and \(x=\frac{3\pi}{2}\) (\(x=90\) and \(x=270\)) |
| Question | Harmonic form: \(a\cos x+b\sin x=\) |
| Answer | \(a\cos x+b\sin x=R\cos(x-\alpha)\) |
| Question | What is the small angle approximation for \(\sin\theta\) |
| Answer | \(\sin\theta\approx\theta\)The angle must be in radians |