Pure

    Cards (31)

    • Cosine rule
      a^2=b^2+c^2-2bc cosA
    • Sine rule
      a/sinA=b/sinB
    • Convex
      When second derivative is more than zero
    • Convex
      When second derivative is more than zero
    • Concave
      When second derivative less than zero
    • Arc length
      r theta
      L=
    • Domain
      The input of a function The x value
    • Domain
      The input of a function The x value
    • Double angle formulae cos2A
      Cos^2A-sin^2A. 2cos^2A-1
      1-2sin^2A
    • Double angle formulae sin2A
      2sinAcosA
    • Double angle formulae sin2A
      2sinAcosA
    • Double angle formulae tan2A
      2tanA/1-tan^2A
    • Formula for arithmetic sequence
      a+(n-1)d
    • Formula for arithmetic sequence
      a+(n-1)d
    • Limitations of quadratic models
      No wind or air resistance No spin on the ball
      The ball is modelled as a particle
      After x is above a certain point it predicts negative values
      Trajectory is a perfect parabola
      No obstacles in path of the ball
    • Many to many 

      Many values of x give many values of y Eg a circle
    • Many to one

      Many values of x for one value of y Eg, a quadratic,cubic,quartic
    • One to many
      One value of x gives multiple values of y
    • One to one
      For each value of x, there is a unique value of y eg a straight line graph
    • Point of inflection
      When second derivative is equal to 0
    • Range
      The y value Output
    • Sector area
      1/2 r^2 theta
    • Trig identity cosec^2
      1+cot^2
    • Trig identity Cos²+sin²
      1
    • Trig identity sec²
      1+tan^2
    • Differentiate lnx
      1/x
    • Integrate 1/x
      Lnx
    • Volume of cylinder
      Pi r^2 h
    • Surface area of cylinder
      2pi r h + 2 Pi r^2
    • Formula for geometric sequence
      ar^n-1
    • Formula for parametric integration
      y dx/dt