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If (x-a) is a factor of f(x)
f(a)=0
1 of 40
if (ax-b) is a factor of f(x)
f(b/a)=0
2 of 40
If f(x) is divided by (x-a)
the remainder is f(a)
3 of 40
If f(x) is divided by (ax-b)
the remainder is f(b/a)
4 of 40
cosine rule
a²-b²+c²-2bc(cosA)
5 of 40
sine area of a triangle
(1/2)absinC
6 of 40
area of a sector
(1/2)(r²)theta
7 of 40
length of an arc
r*theta
8 of 40
area of a segment
(1/2)(r²)(theta-sin(theta))
9 of 40
all exponential functions
pass through (0.1) and have asymptote y=0
10 of 40
log addition rule
logₐBC=logₐB+ logₐC
11 of 40
log subtraction rule
logₐ(B/C)=logₐB- logₐC
12 of 40
log index rule
logₐBⁿ=nlogₐB
13 of 40
logₐa=
1
14 of 40
logₐ1=
0
15 of 40
logₐ(1/x)=
-logₐx
16 of 40
equation of a circle center (a,b) radius r
(x-a)²+(x-b)²=r²
17 of 40
uncompleted square of circle equation
x²+y²+2gx+2fy+c=0
18 of 40
nth term of a geometric series
arⁿ⁻1
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Sn=
[a(1-rⁿ)]/[1-r]
20 of 40
Sn proof
Sn=a+ar+ar²+...+arⁿ⁻¹..............rSn=ar+ar²+ar³+...+arⁿ.............. Sn-rSn = a-arⁿ..............Sn(1-r)=a-arⁿ..............Sn= (a-arⁿ)/1-r
21 of 40
If r is between -1 and 1, s(infinity) is
a/1-r
22 of 40
describe y=sin(x)
period of 360°. symmetrical around 90°. pos-90-neg-180
23 of 40
describe y=cos(x)
period of 360°. symmetrical around 0°.
24 of 40
describe y=tan(x)
period of 180°. asymptotes at theta=90°(2n+1)
25 of 40
what is the sv when cos(x)=c
±cos⁻¹(c)+360n
26 of 40
what is the sv when sin(x)=s
(-1)ⁿsin⁻¹(s)+180n
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what is the sv when tan(x)=t
tan⁻¹(t)+180n
28 of 40
at what point on a curve is there a stationary point?
when f'(x)=0
29 of 40
when is a curve increasing?
when f'(x)>0
30 of 40
when is a curve decreasing?
when f'(x)
31 of 40
when is a stationary point a maximum?
when f''(x)
32 of 40
when is a stationary point a minimum?
when f''(x)>0
33 of 40
trig identities
tan(x)=(sin(x))/(tan(x)) and cos²(x)+sin²(x)=1
34 of 40
area beneath a curve equation
integrate f(b)-f(a)
35 of 40
area between two curves equation
integrate (t(x)-b(x))
36 of 40
trapezium rule
for n equal intervals, of width h, A=(h/2)(Y₀+Yₓ+2(Y₁+Y₂+...+Yₓ₋₁))
37 of 40
area of a trapezium
(h/2)(a+b)
38 of 40
how to convert degrees to radians?
multiply by pi/180
39 of 40
how to convert radians to degrees?
multiply by 180/pi
40 of 40

Other cards in this set

Card 2

Front

if (ax-b) is a factor of f(x)

Back

f(b/a)=0

Card 3

Front

If f(x) is divided by (x-a)

Back

Preview of the front of card 3

Card 4

Front

If f(x) is divided by (ax-b)

Back

Preview of the front of card 4

Card 5

Front

cosine rule

Back

Preview of the front of card 5
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