A level formula Flashcards

1
Q

Quadratic formula

A

-b+-(sqr root of b squared -4ac)/2a

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2
Q

cosine rule

A

a squared= b squared + c squared - 2bc cos A

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3
Q

Cosine rule for angle

A

Cos A= (b squared + c squared - a squared)/ 2bc

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4
Q

Sine rule

A

a/Sin a= b/Sin B

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5
Q

Area of triangle

A

1/2 a x b x sin C

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6
Q

A line is perpendicular if:

A

m1 x m2= -1

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7
Q

log x(1)=

A

0

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8
Q

log x (1/y)=

A

-log x(y)

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9
Q

unit vector=

A

^a_

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10
Q

^a_=

A

1/magnitude of vector

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11
Q

angle to positive x axis

A

cos anglex= x/ magnitude

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12
Q

cosec squared=

A

1+ cot squared

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13
Q

sec squared=

A

tan squared +1

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14
Q

cos 2 theta=

A

cos squared - sin squared

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15
Q

cos 2 theta=

A

2cos squared -1

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16
Q

cos 2 theta=

A

1- 2sin squared

17
Q

tan 2 theta=

A

(2 tan theta)/ 1- tan squared

18
Q

radian=

A

180/pi

19
Q

arc length

A

r and theta

20
Q

area

A

1/2 radius squared x theta

21
Q

differentiate ln

A

1/x

22
Q

differentiate a^kx

A

kln A A^kx

23
Q

how is function concave

A

when second derivative is less than or equal to 0

24
Q

how is function convex

A

when second derivative more than or equal to 0