C2

C2 Revision Notes

·         The laws of logarithms:
logₐx+logₐy=logₐ(xy)

logₐx-logₐy=logₐ(x/y)
logₐxʲ=jlogₐx

logₐa=1, log₁₀10=1, etc.

·         Arithmetic Progressions:
k=term
a=1^st term
d=difference of two terms
l=last term
s=sum of

·         Geometric Progressions:

k=term
a=1^st term
r=ratio (the number each term is multiplied by to get the next term)
s=sum of terms

·         A progression is arithmetic if the difference between each term is the same. A progression is geometric if the difference between each term is different

·         Always work in radians for arc length and sector area questions

·         Radians to degrees- divide by π and multiply by 180

·         Degrees to radians- divide by 180 and multiply by π

·         2π=360

·         S=rθ
where s=arc length of sector
            r=radius
            θ=angle (in radians)

·         A=(1/2)r²
where a=area of sector
            r=radius
            θ=angle in radians

·         Special angles:

sin30°=1/2

sin60°=√3/2

sin45°=1/√2

cos30°=√3/2

cos60°=1/2

cos45°=1/√2

tan30°=1/√3

tan60°=√3

tan45°=1

·         The sine rule:

Where a, b and c are…