C3

Question 1

Cos^2 A/2

Answer 1

1/2 (1 + CosA)

Question 2

Sin^2 A/2

Answer 2

1/2 (1 - CosA)

Question 3

Sin2A

Answer 3

2SinACosA

Question 4

Cos2A

Answer 4

Cos^2 A - Sin^2 A

2Cos^2 A - 1

1 - 2Sin^2 A

Question 5

Tan2A

Answer 5

2TanA
/
1 - Tan^2 A

Question 6

Sec

Answer 6

1/Cos

Question 7

Cosec

Answer 7

1/Sin

Question 8

Cot

Answer 8

1/Tan

Question 9

y=sin^-1 domain

Answer 9

-1

Question 10

y=cos^-1

Domain

Answer 10

-1

Question 11

y=tan^-1

Domain

Answer 11

x E R

Question 12

f’(x) of e^x

Answer 12

e^x

Question 13

f’(x) of e^f(x)

Answer 13

f’(x)e^f(x)

Question 14

f’(x) of ke^f(x)

Answer 14

kf’(x)e^f(x)

Question 15

f’(x) of e^ax+b

Answer 15

ae^ax+b

Question 16

f’(x) ln kx

Answer 16

1/x

Question 17

f’(x) of ln(f(x))

Answer 17

f’(x)
/
f(x)

Question 18

f’(x) of k ln(f(x))

Answer 18

k f’(x)
/
f(x)

Question 19

f’(x) of ln(ax+b)

Answer 19

a
/
ax+b

Question 20

Solids of revolution with x axis

Answer 20

V = | π y^2 dx

Question 21

Solids of revolution around y axis

Answer 21

V = | π x^2 dy

Question 22

Integration

k(ax+b)^n dx

Answer 22

K/ a(n+1)

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

Question 23

Integration

|e^ax+b dx

Answer 23

1/a
*
e^ax+b
+c

Question 24

Differentiate y= [f(x)]^y

Answer 24

[f’(x)y]f(x)^y-1

Question 25

1 + tan^2x =

Answer 25

Sec^2x

Question 26

1 + cot^2x =

Answer 26

Cosec^2x

Question 27

1 + tan^2x =

Answer 27

Sec^2x

Question 28

1 + cot^2x =

Answer 28

Cosec^2x