AQA AS-Level Maths C2 Equations 0.0 / 5 ? MathematicsEquationsASAQA Created by: EmilyHopeCreated on: 28-04-16 15:37 What is the equation for binomial expansion? (a+b)^n = A^n + (nC1) A^n-1 b + (nC2) a^n-2 b^2 +.......+ b^n where n is positive 1 of 14 How to work out Un in an arithmetic series? Un = a + (n-1)d (a= first term n=number of terms d=common difference) 2 of 14 Sum in arithmetic series Sn = n/2 (2a = (n-1)d) OR Sn = n/2(a +L) where n = number of terms a= first term d= common difference and l = last term 3 of 14 Un in geometric series? Un = ar^n-1 where a= first term, r= common ratio and n= number of terms 4 of 14 Sum of a geometric series? Sn = a(1-r^n)/1-r 5 of 14 Sum to infinity? a/ 1-r when r 6 of 14 Cosine rule? a^2 = b^2 + c^2 - 2bcCosA (you can use this to find a side if given two sides and an angle, or to find an angle if you're given all three sides) 7 of 14 Sine rule? sinA/a = SinB/b OR b/SinB = a/SinA where capital letters are angles and lower case are side lengths 8 of 14 What equation relates Sin, Cos, and Tan together? sinX / CosX = TanX 9 of 14 What equation relates Sin and Cos together? Sin^2 X +Cos^2 X = 1 10 of 14 Equation for arc length? S = rX Remeber to always work in radians for arc and sector or these equations will not work! 11 of 14 Equation for area of a sector? A = 1/2 r^2 X Use radians! 12 of 14 Area of a triangle equation? 1/2 a b SinC 13 of 14 What are the four laws of logarithms? N = a^x will become logaN = X, loga (xy) = logaX+logaY, loga(x/y) = logaX-logaY, loga(X^n)=nlogaX 14 of 14
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