C3 Flashcards Preview

Maths > C3 > Flashcards

Flashcards in C3 Deck (28)
Loading flashcards...
1
Q

Cos^2 A/2

A

1/2 (1 + CosA)

2
Q

Sin^2 A/2

A

1/2 (1 - CosA)

3
Q

Sin2A

A

2SinACosA

4
Q

Cos2A

A

Cos^2 A - Sin^2 A

2Cos^2 A - 1

1 - 2Sin^2 A

5
Q

Tan2A

A

2TanA
/
1 - Tan^2 A

6
Q

Sec

A

1/Cos

7
Q

Cosec

A

1/Sin

8
Q

Cot

A

1/Tan

9
Q

y=sin^-1 domain

A

-1

10
Q

y=cos^-1

Domain

A

-1

11
Q

y=tan^-1

Domain

A

x E R

12
Q

f’(x) of e^x

A

e^x

13
Q

f’(x) of e^f(x)

A

f’(x)e^f(x)

14
Q

f’(x) of ke^f(x)

A

kf’(x)e^f(x)

15
Q

f’(x) of e^ax+b

A

ae^ax+b

16
Q

f’(x) ln kx

A

1/x

17
Q

f’(x) of ln(f(x))

A

f’(x)
/
f(x)

18
Q

f’(x) of k ln(f(x))

A

k f’(x)
/
f(x)

19
Q

f’(x) of ln(ax+b)

A

a
/
ax+b

20
Q

Solids of revolution with x axis

A

V = | π y^2 dx

21
Q

Solids of revolution around y axis

A

V = | π x^2 dy

22
Q

Integration

k(ax+b)^n dx

A

K/ a(n+1)

*(ax+b)^n+1
+c

23
Q

Integration

|e^ax+b dx

A

1/a
*
e^ax+b
+c

24
Q

Differentiate y= [f(x)]^y

A

[f’(x)y]f(x)^y-1

25
Q

1 + tan^2x =

A

Sec^2x

26
Q

1 + cot^2x =

A

Cosec^2x

27
Q

1 + tan^2x =

A

Sec^2x

28
Q

1 + cot^2x =

A

Cosec^2x