Understanding Engineering Mathematics

(やまだぃちぅ) #1
2 j

− 3 j

1 −j

(^0) x
y
√ 3
2
1



  • 2 j




  1. 1
    2
    +j

    3
    2
    19.(i) 2^7 (ii) − 215 j




  2. cos( 38 θ)−jsin( 38 θ)




  3. (i) ± 1




(ii) ±j

(iii) ±

(
1

2

+

1

2

j

)

(iv)


3
2


1
2

j,j,−


3
2


1
2

j

(v) 2^1 /^4

(
cos

π
8

+jsin

π
8

)
,2^1 /^4

(
cos

(

7 π
8

)
+jsin

(

7 π
8

))

(vi) ±


2

(√
3
2

+

1
2

j

)

(vii) 2^1 /^8

(

π
16

)
,2^1 /^8

(
7 π
16

)
,2^1 /^8

(
15 π
16

)
,2^1 /^8

(

9 π
16

)

(viii) 2^1 /^4


24

)
,2^1 /^4

(
13 π
24

)
,2^1 /^4

(

23 π
24

)
,2^1 /^4

(

11 π
24

)





1 +j

2

1 −j

2

− 1 +j

2

− 1 −j

2
Free download pdf