A level maths formulae questions and
answers with complete solutions
arithmetic sequence
geometric sequence
sum of arithmetic sequence 1
n/2(2a + (n-1)d)
sum of arithmetic sequence 2
n/2(a + l) (l= last term)
sum
...
A level maths formulae questions and
answers with complete solutions
arithmetic sequence
geometric sequence
sum of arithmetic sequence 1
n/2(2a + (n-1)d)
sum of arithmetic sequence 2
n/2(a + l) (l= last term)
sum of geometric sequence
sum to infinity
2π
360 degrees
1 radian
180/π
π
180 degrees
π/6
30 degrees
π/3
60 degrees
π/4
45 degrees
π/2
90 degrees
sinπ/6
1/2
sinπ/3
√3/2
sinπ/4
√2/2
cosπ/6
√3/2
cosπ/3
1/2
cosπ/4
√2/2
tanπ/6
√3/3
tanπ/3
√(3)
tanπ/4
1
sin(π - θ)
sinθ
sin(π + θ)
-sinθ
sin(2π - θ)
-sinθ
cos(π + θ)
-cosθ
cos(π - θ)
-cosθ
cos(2π - θ)
cosθ
tan(π - θ)
-tanθ
tan(π + θ)
tanθ
tan(2π - θ)
-tanθ
arc length
l = rθ
area of sector
1/2 r2 θ
area of segment
when θ is small sinθ
sinθ = θ
when θ is small tanθ
tanθ= θ
when θ is small cosθ
cosθ= 1-θ^2/2
secx
1/cosx
cosecx
1/sinx
cotx
1/tanx
cotx (in terms of sin and cos)
cosx/sinx
y = secx graph
y = cosecx graph
range of y=secx
y ≥ 1 or y ≤ -1
range of y=cosecx
y ≥ 1 or y ≤ -1
y=cotx graph
1 + tan^2x =
sec^2x
1 + cot^2x =
cosec^2x
y = arcsinx graph
y=arccosx graph
y= arctanx graph
sin(A + B) =
sinAcosB + cosAsinB
cos(A + B) =
cosAcosB-sinAsinB
tan(A+B) =
tanA + tanB / 1 - tanAtanB
sin(180 - θ)
sinθ
cos(180 - θ)
-cosθ
tan(180 - θ)
-tanθ
tan(180 + θ)
tanθ
sin30
1/2
cos30
√3/2
tan30
√3/3
sin45
√2/2
cos45
√2/2
tan45
1
sin60
√3/2
cos60
1/2
tan60
√3
sin45 (in terms of cos)
cos45
sin30 (in terms of cos)
cos60
cos^2x + sin^2x
= 1
unit vector
f'(x) first principals
f(x + h) - f(x) / h
if f(x) = e^x
f'(x) = e^x
f(x) = e^kx
f'(x) = ke^kx
sin2A =
2sinAcosA
cos2A =
cos^2A-sin^2A
cos2A = (in terms of cosA only)
2cos^2A - 1
cos2A = (in terms of sinA only)
1 - 2sin^2A
tan2A =
2tanA/1-tan^2A
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