pure year 2

• The order you do transformations only matters if it is only being done to one (x or y)
• If fraction is improper you need to do polynomial division first to find the remainder,its improper if the highest power of x is bigger on the bottom or equal to the top
• Un=nth term
• Periodic sequence - one that repeats itself
• Divergent sequence,terms get further and further apart,will tend to infinity or negative infinity
• Convergent

  terms get closer and closer together,will tend to a number (limit)

  limit when each of the terms is equal to the previous one
• Arithmetic sequence

  adding the same amount each time

  first term a

  common difference d

  nth term Un=a+(n-1)d
• Geometric sequence

  times by same amount each time

  r=common ratio

  Un= a x r^n-1
• sequence :1,2,3,4

  series :1+2+3+4 sn
• Can only work out the sum of an infinite geometric sequence when it is converging if it was divergent the infinite sum would be +-infinity
• 360 degree = 2pi radians
• Half a turn = pi radians for and radius because it is the ratio between radius and circumference
• Arc length=rθ
• area of sector=$1/2*$$r^2θ$
• Area of segment =$1/2*$$r^2(θ-sinθ)$
• Restricting the domain of a function restricts the range of the inverse making it a function
• y=2sin(pi/3 t)

  amplitude=2

  period=pi/3 t