SequencesArithmetic Sequence  An = A1 + D(n  1)  Geometric Sequence  An = A1(r^{n1})  Finite Sum  Sn = A1(1  r^{n}) / 1  r  Infinite Sum (r < 1)  A1 / 1  r 
VolumesSphere  V = (4/3)πr^{2} A = 4πr^{2}  Cone  V = (1/3)πr^{2}h  Pyramid  V = (1/3)bh  Cylinder  πr^{2}h 
Sin/CosLaw of Cosines  c^{2} = a^{2}+b^{2}2ab(cos(C))  Arc Length  L = rθ  Double angle:  sin2x = 2cosxsinx cos2x = cos^{2}x  sin^{2}x cos2x = 2cos^{2}x  1 cos2x = 1  2sin^{2}x tan2x = 2tanx / 1  tan^{2}x  Half angle:  sinx/2 = +/ sqrt((1  cosx) / 2) cosx/2 = +/ sqrt((1 + cosx) / 2) tanx/2 = +/ sqrt((1  cosx) / (1 + cosx)) tanx/2 = (1  cosx) / sinx 
Vertical line testIf a vertical line intersects a supposed function at two different points, it is not a function. 
ProbabilityCombinations:  Order doesn't matter 8c5 = 8! / (85)!5!  Permutations:  Order matters 8p5 = 8! / 5!  Probability:  P(A and B) = P(A) * P(B) P(A or B) = P(A) + P(B)  P(A and B) If A and B are mutually exclusive: P(A or B) = P(A) + P(B) 
  CoordinatesPointslope form  y  y1 = m(x  x1)  Vertex of parabola:  x = b/2a 
ParabolaVertex  (h, k)  Focus  (h, k +/ p)  Directrix  y = k  p 
EllipseCenter  (h, k)  Vertices  (h, k +/ a)  Foci  (h, k +/ c)  Major Axis  2a  Minor Axis  2b 
HyperbolaCenter  (h, k)  Vertices  (h, k +/ a)  Foci  (h, k +/ c)  Asymptotes  y = k +/ (a/b)(xh) 
Sin/Cos/Tangent equationsAsin(Bx+C)+D  A = Amplitude B = Period C = Phase shift D = Vertical shift  sin or cos(Bx)  Period = 2π/b  tan(Bx)  Period = π/b 

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