C2 0.0 / 5 MathematicsAllASEdexcel Created by: Abi WoodrowCreated on: 11-01-15 17:08 If (x-a) is a factor of f(x) f(a)=0 1 of 40 if (ax-b) is a factor of f(x) f(b/a)=0 2 of 40 If f(x) is divided by (x-a) the remainder is f(a) 3 of 40 If f(x) is divided by (ax-b) the remainder is f(b/a) 4 of 40 cosine rule a²-b²+c²-2bc(cosA) 5 of 40 sine area of a triangle (1/2)absinC 6 of 40 area of a sector (1/2)(r²)theta 7 of 40 length of an arc r*theta 8 of 40 area of a segment (1/2)(r²)(theta-sin(theta)) 9 of 40 all exponential functions pass through (0.1) and have asymptote y=0 10 of 40 log addition rule logₐBC=logₐB+ logₐC 11 of 40 log subtraction rule logₐ(B/C)=logₐB- logₐC 12 of 40 log index rule logₐBⁿ=nlogₐB 13 of 40 logₐa= 1 14 of 40 logₐ1= 0 15 of 40 logₐ(1/x)= -logₐx 16 of 40 equation of a circle center (a,b) radius r (x-a)²+(x-b)²=r² 17 of 40 uncompleted square of circle equation x²+y²+2gx+2fy+c=0 18 of 40 nth term of a geometric series arⁿ⁻1 19 of 40 Sn= [a(1-rⁿ)]/[1-r] 20 of 40 Sn proof Sn=a+ar+ar²+...+arⁿ⁻¹..............rSn=ar+ar²+ar³+...+arⁿ.............. Sn-rSn = a-arⁿ..............Sn(1-r)=a-arⁿ..............Sn= (a-arⁿ)/1-r 21 of 40 If r is between -1 and 1, s(infinity) is a/1-r 22 of 40 describe y=sin(x) period of 360°. symmetrical around 90°. pos-90-neg-180 23 of 40 describe y=cos(x) period of 360°. symmetrical around 0°. 24 of 40 describe y=tan(x) period of 180°. asymptotes at theta=90°(2n+1) 25 of 40 what is the sv when cos(x)=c ±cos⁻¹(c)+360n 26 of 40 what is the sv when sin(x)=s (-1)ⁿsin⁻¹(s)+180n 27 of 40 what is the sv when tan(x)=t tan⁻¹(t)+180n 28 of 40 at what point on a curve is there a stationary point? when f'(x)=0 29 of 40 when is a curve increasing? when f'(x)>0 30 of 40 when is a curve decreasing? when f'(x) 31 of 40 when is a stationary point a maximum? when f''(x) 32 of 40 when is a stationary point a minimum? when f''(x)>0 33 of 40 trig identities tan(x)=(sin(x))/(tan(x)) and cos²(x)+sin²(x)=1 34 of 40 area beneath a curve equation integrate f(b)-f(a) 35 of 40 area between two curves equation integrate (t(x)-b(x)) 36 of 40 trapezium rule for n equal intervals, of width h, A=(h/2)(Y₀+Yₓ+2(Y₁+Y₂+...+Yₓ₋₁)) 37 of 40 area of a trapezium (h/2)(a+b) 38 of 40 how to convert degrees to radians? multiply by pi/180 39 of 40 how to convert radians to degrees? multiply by 180/pi 40 of 40

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