Here is a list of all formulas you made need in the Edexcel A level course. All of the formulas that are not listed in the formula booklet are highlighted in yellow. This includes all of the standard integrals and derivatives you need to know.
6/7/2019 Year 2 Mathematics Formulas (Edexcel) - Google Docs
Highlighted formulas are not given in the formula booklet
Degrees and radians
degrees 0 30 45 60 90 120 180 270 360
π π π π 2π 3π
radians 0 6 4 3 2 3 π 2 2π
Radians to degrees: divide by π, multiple by 180
Degrees to radians: divide by 180, multiple by π
Circles:
Arc length, s: s = rθ
Sector area: A = 21 r 2 θ
Small angle approximations:
sinθ ≈ θ
cosθ ≈ 1 − 21 θ 2
tanθ ≈ θ
Special angles:
x (deg) x (rad) Sin x Cos x Tan x
0 0 0 1 0
π 1 √3 1
30 6 2 √3
2
π 1 1
45 4 √2 √2
1
π √3 1
60 3 2 2 √3
π
90 2 1 0 -
180 π 0 -1 0
Cosec sec and cot:
1
cosecθ ≡ sinθ
1
secθ ≡ cosθ
1
cotθ ≡ tanθ
Trig identities:
cos2 θ + sin2 ≡ 1
tanθ ≡ sinθ
cosθ
sec2 θ ≡ 1 + tan2 θ
cosec2 θ ≡ 1 + cot2 θ
A∓B
sinA ± sinB = 2 sin A±B 2 cos 2
cosA + cosB = 2 cos A+B A−B
2 cos 2
cosA − cosB = 2 sin A+B A−B
2 sin 2
The addition formulas:
sin(A ± B ) ≡ sinAcosB ± cosAsinB
cos(A ± B ) ≡ cosAcosB sinAsinB∓
tan(A ± B ) ≡ 1tanA±tanB
∓tanAtanB
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