Maths Formulae

For a level edexcel maths

Derivative of a^x

a^xlna

Percentage of data in the IQR

50%

cos2θ in only cos²

2cos²θ – 1

cos2θ in only sin²

1-2sin²θ

cos²θ in cos

1/2 + 1/2 cos2θ

sin²θ in cos

½ - 1/2cos2θ

tan2θ

2tanθ/1-tan²θ

Converting between log bases

log_ab = 1/log_ba

cosine rule

a² = b² + c² -2cbcosA

Area of a triangle

1/2absinc

arc length where angles are rad

θr

Sector area

½ r²θ

Segment area

½ r²(θ – sinθ)

Arithmetic n^th term

a + (n – 1)d

LCM

multiply all the prime factors

HCF

Multiply the common prime factors