Core 2 Equations Flashcards

1
Q

1=…

A

Cos^2Ø + sin^2Ø=1

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2
Q

TanØ=

A

TanØ=(sinØ/cosØ)

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3
Q

Cos(-Ø)=

A

Cos(-Ø)=cosØ

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4
Q

sin(-Ø)=

A

-sinØ

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5
Q

Tan(-Ø)=

A

-TanØ

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6
Q

Sine rule

A

a/sinA=b/sinB=c/sinC

sinA/a=sinB/b=sinC/c

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7
Q

Area of a triangle

A

1/2absinC

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8
Q

Cosine rule (rearranged)

A

CosC=(a^2+b^2-c^2)/2(ab)

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9
Q

a=

A

first value in the sequence

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10
Q

In+1=f(Un) is….

A

A reversible defanition of a sequence

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11
Q

Triangle number….

A

1/2n(n+1)

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12
Q

Factorial

A

n!

1x2x3x…..xn

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13
Q

Integrate ax^n

A

{ax^(n+1)}/{n+1}

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14
Q

Area between curve and x-axis

A

Untergrate From B to A where x = b and a

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15
Q

Area between curve and y axis

A

Untergrate From B to A where y = b and a

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16
Q

If Y=a^x

Then……

A

X=logaY

17
Q

If Y=10^x

Then…….

A

x= logY

18
Q

If y=e^x

Then…….

A

X=logeY

19
Q

Log A + log B =

A

Log (AB)

20
Q

Log A - log B =

A

Log (a/b)

21
Q

M log A =

A

=log A^M

22
Q

[m\n]log A

A

Log X the nth root of A^m

23
Q

Loga =…..

A

1

24
Q

Loga 1=

A

0

25
Q

F(a)=0

Then…..

A

(x-a) is a factor of f(x)

And vice versa

26
Q
If f(a) =R
Then....
A

R is remainder of when f(x) / (x-a)

27
Q

a degrees in radians

A

(Pi x a)/180

28
Q

Arc length

A

Rx

29
Q

Area sector

A

1/2r^2 x

30
Q

Area of the triangle in a sector

A

1/2 r^2 sin x