C2

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C2 Revision Notes

·         The laws of logarithms:
log
x+logy=log(xy)

logx-logy=log(x/y)
log
xʲ=jlogₐx

logₐa=1, log₁₀10=1, etc.

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

·         Geometric Progressions:

k=term
a=1st 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

Comments

Natasha Naeem

Very good thanks x

daisy wallis

we have this exam tomorrow and we havnt learnt any of this:O do we NEED to know it?:/

anj

Natasha Naeem wrote:

Very good thanks x

natasha ur mi inspiration

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