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.

3.5.

. [3. 7. 15, 1, 292. 1, 4] ->3.141592654.

/ f=int(i4/B) , = 1 - fx ) X10.

3.6.

. 32/9,3=3,4408602150537 . . . .

- , . .

, 1, 1, 2, 3. 5, 8, 13, 21, 34,

(Ci=0; --):

, = ,-, + ,-2. = 3, 4. 5, ...

3.7.

10 PRINT N-rO

20 LETA=0:LETB=l!lNPIJTBBEfiHTE N>=3 N=N

30 FOR 1=3 TO N

40 LETC=A+B:LETA=B:LETB=C

50 NEXT I

60 PRINT!F1.9!FN=C 70 GOTO 20!END

/=10 Cin = 34.

§ 3.2.

Z==/l+yB = ReZ + yImZ Z = Re", /? = / + = 1(/).

- Z,=A,-\-jB, Z2=i42 + yB2

2,+2=(,+2) + /(,-2),

,-2=(,-2)+/(,-2). .

Zl=l+Bl 2=2 + ;2

,2=(,2-2)+7(,2+,2).

Z, ,2 + ,2 , . 12 -,

1 + 1

Z, Z2 = Re" = R cos +; R sin ,

/? = /?/?2, 6 = 61+62,

Z,/Z2 = Re=R cose + ? sin8,

R = R,/R2. 8 = 6,-62. 3.8.

-,

(5-/-3)(3 + -2)

(3.1)

-

(5 + -3)(2-.4)

+ (0,5 + -1)

ReZ= 1,158823529 ImZo = = 1,464705882, . . Zn= 1.158823529+ X 1,464705882. 3.9.

/-0.5 /-0,25

Zi=2e Z2 = 3e Z,Z2 = Z = 6e-- Z4/Z2 = Z=l,5e-°-25

:

Z2= (-)+2,

1 .

- /-

Z- ()

( + )

-+/+

+!+1

.

Z = = COS +\ sin ,

1 Z=5ln (+) - (arctg-dz2n*).

fe = 0, 1, 2.....

3.8. 05 PRINT!1.!

- ;!!

0 PRINT

30 INPUT RE IM 21 ,

40 INPUT RE 22, IM 22 CD

50 INPUT +1,-2,,,4

60 IF =1 THEN 110

70 IF K=2 THEN 130

S0 IF K=3 THEN 140

90 IF K=4 THEN 160

10 FRIHTKOfi . :. ?1

110 LETA=A+C!LETB=B+D

120 1?12 0=A + J*<B>:GOTO 40

130 LETA=A-C!LETB=B-D:G0T0 120

140 LETE=A*C-B*D s LETF=A*D+C*B

150 LETA=E:LETB=F:60T0 120

160 LETL=C*C+D*D!LETE=A*C+B*D:LETF=B*C-ft*D

170 LETA=EL:LETB=FL:G0T0 12fi:EHD



10 PRINT

20 PRINT-

30 INPUTB 21 0-. 1-.

4 IF =1 THEN 70

50 INPUT RE 2b IM Zl ftj.B

60 LETRl=SGR<ft+BB>!LETGl=ftTH<B->!GOTO 80

70 INPUT Rb Gl RlrOl

80 INPUTB Z2 0-. 1-. 0 IF =1 THEN 120

100 INPUT RE Z2, IM Z2

110 LETR2=SGR<CC:+DrO:LET02=TN<:D/C>!GnT0 130

120 INPUT R2.. D2 R2,G2

130 INPUT 0 1

140 IF =0 THEN 160

150 LETR=R1R2!LETG=G1-G2!G0T0 176

160 LETR=R1*R2!L ETQ=G1+G2

170 PRINTZ0=R* EXP<J*<0)>

180 LETR1=R".LETG1=G;G0T0 80:END

=1"= cos A, + j{Ir sin A, Ai, = e/n + 360k/n, ft = 0, 1, 2, ....

Z" = R"e"" = R" cos + jR" sin «6. 3.10.

Jfi PRINT FtZ)=Z"2

20 I RE Z=A: IM Z=B

I.ETE=h"2-B-2:LETF=2*h*B 4 1.=!=

S0 PRINTRE «:;)=:11 FtZ>=B GOTO 20:ENIi

. (3 + y-2)2=5 + y-12. 3.11.

10 PRINT Fa>=l>-Z

20 INPUT RE Z=!INPUT IM Z=B

30 =2+2:=/0

40 LETF=-B6!LET=E!LETB=F

-50 PRINTRE <>=!1IM Fa>=B

60 GOTO 20:1

p M e p. l/(3 + /-2) =0.2307692308-/-0.15,38461538. 3.12.

10 PRINT F;ZJ=lZ-2

20 1 RE Z=ft!1 IM Z=B

30 LET6= tH"2-bB-2)"£LETE= tft"£-B2>/6

46 LETF=-2*ft*B/b;L£Tft=E:LETB=F

50 PRIKTRE F<Z> = H3pRIHTIM F<.7> = B

66 GOTO 20 E HI:

p M e p. 1/(3 + 2) = 0.02958579882~y-0,07100591716. 3.13.

10 PRINT F<Z>=SORCZ>

20 INPUT RE Z=ft: INPUT IM.Z=B

30 -.=80"2-"2>!=50<:<:+6)/2>

40 LETF=SG!R<: <--6>/2> s =! LETB=F

50 PRINTRE Z=+-A!PRINTIM Z=+-B

60 GOTO 20!END

. V3 + y-2= ±1.81735402!±/-0,5502,=")0.5227. 3.14.

10 PRINT F<Z>=EKP<:X>

20 INPUT RE Z=!INPUT IM Z=B

30 LETE=EKP (. > *COS >: LETF=EKP< > *S IN >

40 LETft=E!LETB=F

-50 PRINTRE EKP<Z>=!PRINTIM EKP<Z> = B 60 GOTO 20!END

, e.xp (3+ / 2) =-8.358532651 f/ 18.26,37270-1.



. \3 + /-2=1,36311829+/-0,2018352064. 3.17.

10 PRINT F(Z)=Z-H

20 INPUT RE Z=ft:INPUT IM Z=B

30 INPUT N=N:LETX=S0R(ft-2+B"2>

40 LETV=ftTN(Bft>:LETft=XN*COS(V*H>

-50 LETB=X-N*SIH<V*N>:PRINTRE F<Z>=ft

60 PRINTIM F<Z>=B!EHD

. (3 + /- 2) = 8.999999999 + / 46.

: sin Z = sin A ch +/ cos sh B, cos Z=cos ch B -/ sin sh B,

si2 sh2B

~ cos 2 +ch 2B cos 2 +ch 2B "

3.18.

10 PRINT F<Z>=SIH<Z>

20 INPUT RE Z=:INPUT IM Z=B

30 LETE=SIN<ft >8(>!LETF=COS < A> 5 <)

40 LETft=E:LETB=F

50 PRINTRE F(Z>=A!PRINTIM F<Z>=B 60 GOTO 20:END

, sin (3 + /-2)=0,5309210863-/-3,59056459.

3.19.

10 PRINT FfZXiOSfZ) 20 INPUTBBEfiHTE RE Z=ft:INPUT IM Z=B 30 LETE=COS < ft >*HCS >:LETF=-SIH < ft)8() 40 LETA=E:LETB=F

50 PRINTRE FCZ>=A:PRINTIM F<Z>=B 60 GOTO 20:END

, cos (3 + /-2) = -3,724545505-/-0,51182257. 3.20.

10 PRINT FCZ>=TAHCZ>

20 IHPUTBBEfiHTE RE 2=ft:INPUTBBEfiHTE IM Z=B

30 LETft=ft!«2: LETB=B*2: LETG=COSCft>+HC:SCB>

35 LETE=SIH<A>.G!LETF=HSN<:B>/G

40 LETft=E:LETB=F

50 PRINTRE F<:Z> = ft:pRINTIM F<Z>=B 60 GOTO 20:END

p M e p. tg (3 + /-2) = -0,009884375039 +/-0,965385879.

le prIWT fc2>=l0g<::Z>

1 re z=--ft: input IM Z=b

30 lete=l0g<ft"2+b"2>/2:letf=ftTN(b/ft>

40 LETft=e!letb=f

50 printf=ft+Ji*<b +*#1>

60 goto 20:END

. In (3 + ӕ 2) = 1,282474679 + / (0,5880026035+ 2fe.). 3.16.

10 print f<Z>=Z"i; 1->

20 input re Z=:input im Z=b

30 input h=n: letk=sgr<:ft-2+b-2>

35 let= < b/-ft >: LETft=X- < 1 .h > *cos (. \)

40 letb=k<1.n>*sihcv/h>:printre f<Z>=ft

50 printim F<Z>=B:EHD



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