Before Download

Question 1

Symmetry of Even functions

Answer 1

Symmetry about x=0

Question 2

Symmetry of Odd Functions

Answer 2

Odd functions have rotational symmetry about the origin

Question 3

For an odd functions F(x) = ?

Answer 3

F(x) = -F(-x)

Question 4

For an Even Function F(x) = ?

Answer 4

F(x) = f(-x)

Question 5

Heaviside Function (step function)

Answer 5

H(t){ 0, t < 0
{ 1, t >= 0

Question 6

cos^2(x) + sin^2(x) = ?

Answer 6

cos^2(x) + sin^2(x) = 1

Question 7

cos(x - (pi/2)) = ?

Answer 7

cos(x - (pi/2)) = sin(x)

Question 8

sin(x - (pi/2)) = ?

Answer 8

sin(x - (pi/2)) = cos(x)

Question 9

cos(A +- B) = ?

Answer 9

cos(A +- B) = cosAcosB -+ sinAsinB

(note the sign swaps)

Question 10

sin(a +- b) = ?

Answer 10

sin(a +- b) = sinAcosB +- sinBcosA

Question 11

cos2a = ?

Answer 11

cos2a = cos^2(a) - sin^2(a)

Question 12

sin(2A) = ?

Answer 12

sin(2A) = 2sinAcosA

Question 13

sin^2(A/2) = ?

Answer 13

sin^2(A/2) = (1-cosA)/2

Question 14

cos^2(a/2) = ?

Answer 14

cos^2(a/2) = (1+cos(a))/2

Question 15

Partial fraction decomposition rules

Answer 15

if denominator has : than we write

1.) distinct linear factor : one term per factor
2.) Repeated linear factor : one term per power
3.) distinct irreducible quadratic power : one linear term per factor
4.) repeated irreducible quadratic factor : one linear term per power