CCEA MATHS PURE NOTES

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aªaªa(mm) a-"a as. Ja a = √√√a a=√ am aa" am-n) (am) m = amn a a indices a ²-1 (a/0) serds (√a-56) I√a+√6) = a - b quadratic formula -b: √b² - 4ac 2a O y = 2 f(oc) = double y valve y = f (25)= half x' valves (x-α)² + (4-6) ² = √² x² + y²-2ax -2 by + C = O trigonometry sino tang COSO n h x = *- I + (C+i) (c-1) graph transformations ON a n A a SinA y = f(x) + 2 = add 2 y valves - = down y valves y = f(x+₂) = + = left = = right y = f(x) = reflection in x axis y = f(-x) = reflection in y axcis equation of a circle. n²=a²fb² Ø Sin A a b C the discriminant • when b²-4ac >0=2 roots 。 when b²-4ac = 0 = 1 root • when b² 4ac so o roots inequalities C O=<> • avoid reciprocal critical valves Sin B b if answer true = leq if answer is false - 2 eq coordinate geometry gradient y=mx+c ・yintercept gradient 4₂-41 x₂-x, 4-4₁ = m 1x-x₁) length between points √14₂-4₁)² + (x₂-x₁)² m= a B tangents centre grad tan = m grad norm = -m midpoint COSA = Sing Sinc or (X, 120, 142) sinc C 5 + cosine rule 9²=6²c²-2 bc Cos A cast b²+c²-a² 2bc a factor theorem it (x-a) is a factor of a polynomial = if fca) =0 then (x-a) = a factor remainder theorem C when a polynomial f(x) is divided by 1x-a) with the remainder fra) grapns -06 ² Circle theorems DD. x² alternate segmen 1+ nx + n(n-1) 2! area of triangle (abc) ABC = 2ab sin C trig identites sino tano coso binomial expansion sino cos² 0 = 1 aswell: x • cos² 01-sin ²0 • sin² = 1-cOS 20 equipades on...

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