Edexcel A Level Maths - Pure Questions And Answers 100% Verified A+ Guaranteed

Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. {Ans: a² = b² + c² - 2bcCosA}Discriminant rules {Ans: b² - 4ac > 0 = Two distinct real roots b² - 4ac = 0 = One repeated root b² - 4ac < 0 = No real roots}Radians: Arc length {Ans: rθ}Implicit Differentiation {Ans: f(y) --> f'(y) dy/dx yⁿ --> nyⁿ-¹ dy/dx xy --> x dy/dx + y}Trapezium Rule {Ans: A = ½h (y₀ + 2(y₁ + y₂ ... yₙ-₁) + yₙ)}∫cos³x {Ans: sinx - 1/3sin³x + c}Equation of a straight line {Ans: y - y₁ = m(x - x₁)}Quotient Rule y = f(x)÷g(x) {Ans: dy/dx = ((g(x) × f'(x)) - (f(x) × g'(x)) ÷ (g(x))²}Many:1 relationship {Ans: Many values of x go to the same value of y e.g. y = x²}∫1÷x {Ans: ln|x| + c}Angle between vector and axis for a vector a: xi + yj + zk {Ans: x axis : cosθ = (x ÷ |a|) y axis : cosθ = (y ÷ |a|) z axis : cosθ = (z ÷ |a|)}Differential of cotx {Ans: -cosec²x}∫cosecxcotx {Ans: -cosecx