maths Flashcards

to learn formula

1
Q

sin (A + B)

A

sin A cos B + cos A sin B

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2
Q

sin (A – B)

A

sin A cos B – cos A sin B

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3
Q

cos (A + B)

A

cos A cos B – sin A sin B

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4
Q

cos (A – B)

A

cos A cos B + sin A sin B

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5
Q

tan (A + B)

A

tan A+ tan B
1 -tan A tan B

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6
Q

tan (A – B)

A

tan A-tan B
1 +tan A tan B

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7
Q

cot (A + B)

A

cot A cot B -1
cot A +cot B

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8
Q

cot (A – B)

A

cot A cot B+ 1
cot B- cot A

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9
Q

sin 2A

A

= 2 sin A cos A =
2 tan A
1+ tan^2 A

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10
Q

cos 2A

A

cos^2 A – sin^2 A = 1 – 2 sin^2
A = 2 cos^2 A – 1
1 – tan^2 A
1+ tan^2 A

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11
Q

tan 2A

A

2 tan A
1 – tan^2 A

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12
Q

cos 3A

A

4cos^3 A – 3cos A

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12
Q

sin 3A

A

3sin A – 4sin^3A

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13
Q

tan 3A

A

3 tanA – tan^3 A
1 – 3tan ^2A

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14
Q

cos A + cos B

A

2cos (a+b)/2 sin(a-b)/2

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15
Q

cos A – cos B

A

-2sin(a+b)/2 .sin(a-b)/2

16
Q

sin A + sin B

A

2sin(a+b)/2 cos(a-b)/2

17
Q

sin A – sin B

A

2cos(a+b)/2.sin(a-b)/2

18
Q

2sin A cos B

A

sin (A + B) + sin (A – B)

19
Q

2cos A sin B

A

sin (A + B) – sin (A – B)

20
Q

2cos A cos B

A

cos (A + B) + cos (A – B)

21
Q

2sin A sin B

A

cos (A – B) – cos (A + B)

22
Q

d sinx

A

cosx

23
Q

d cosx

A

-sinx

24
Q

d tanx

A

sec^2x

25
Q

d cosec

A

-cosecx cotx

26
Q

d secx

A

secx tanx

27
Q

cotx

A

-cosec^2x

28
Q

x^n

A

nx^n-1

29
Q

n

A

0

30
Q

f’(x)

A

lim h->0 (f(x+h)-f(x))/h

31
Q

product rule u.v

A

udv+vdu

32
Q

quotient rule u/v

A

v.du-u.dv/v^2

33
Q

skew symmetric

A

a=-a’

34
Q

symmetric

A

a=a’

35
Q

sum of skew or symmetric

A

(a+a’)/2+(a-a’)/2

36
Q

(ab)’

A

b’.a’

37
Q

(ka)’

A

k(a)’