Pure

• 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=rθ
• 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