Edexcel Pure Maths: A-Level, Content ideas and Formula

Circle theorem about tengents and chords? - answer-a tangent will meet a chord at 90 degrees Circle theorem about triangles in semicircles? - answer-angle of triangle in a semicircle is 90 degrees Circle theorem subtended arcs and circumference? - answer-angles subtended by the same arc at the circumference are equal How does y=-f(x) affect the graph of f(x)? - answer-reflected in x axis How does y=af(x) affect the graph of f(x)? - answer-y x a How does y=f(-x) affect the graph of f(x)? - answer-reflected in y axis How does y=f(ax) affect the graph of f(x)? - answer-x/a How does y=f(x)+a affect the graph of f(x)? - answer-affects y, moves up and down How does y=f(x+a) affect the graph of f(x)? - answer-affects x, opposite direction sideways How is the magnitude of a vecot written for vecot xi +yj? - answer-square root x^2 + y^2 How many roots are there if the discriminent 0? - answer-no real roots How many roots are there if the discriminent = 0? - answer-One/repeated root How many roots are there if the discriminent 0? - answer-Two distinct roots How to find gradient from two points? - answer-y2-y1/x2-x1 How to find line parallel? - answer-same gradient, different y intercept How to find line perpendicular? - answer-negative reciprocal of gradient, find c How to find the midpoint of two points? - answer-(x1+x2/2, y1+y2/2) How to remember transformations of addition/subtraction and multiplication? - answer-near x, affects x How to remember transformations of modulus and negatives? - answer-near x, affects y What are the turning point co-ordinates in f(x)=a(x+p)^2 +q - answer-(-p,q) What can we use the discriminent to find? - answer-no. of points of intersection What do you need to use the Cosine to find a side? - answer-Two sides and included angle What do you need to use the Cosine to find an angle? - answer-all three sides What do you need to use the Sine to find a side? - answer-one pair of opposite side and angle and angle opposite to side you want to find What do you need to use the Sine to find an angle? - answer-one pair of opposite side and angle and side opposite to angle you want to find What do you use to see/show a linear inequality? - answer-number line sketch What do you use to see/show a quadratic inequality? - answer-quadratic curve sketch What does it mena for the line segments PQ and RS if vector PQ = vector RS - answer-they are equal in length and parallel What does sin²θ + cos²θ equal? - answer-1