cos(3*pi/2-x/2)=1

Разделим обе части ур-ния на -1

Ур-ние превратится в
$$sin{left (frac{x}{2} right )} = -1$$
Это ур-ние преобразуется в
$$frac{x}{2} = 2 pi n + {asin}{left (-1 right )}$$
$$frac{x}{2} = 2 pi n – {asin}{left (-1 right )} + pi$$
Или
$$frac{x}{2} = 2 pi n – frac{pi}{2}$$
$$frac{x}{2} = 2 pi n + frac{3 pi}{2}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$frac{1}{2}$$
получим ответ:
$$x_{1} = 4 pi n – pi$$
$$x_{2} = 4 pi n + 3 pi$$

x2 = 3*pi

x1 = -53.4070755183000

x2 = 21.9911478139000

x3 = -103.672558275000

x4 = -15.7079640214000

x5 = -91.1061872802000

x6 = 59.6902597629000

x7 = -15.7079624978000

x8 = -15.7079623300000

x9 = 59.6902606136000

x10 = -91.1061859213000

x11 = 97.3893712358000

x12 = -103.672556618000

x13 = -53.4070760411000

x14 = 9.42477785524000

x15 = -40.8407049391000

x16 = 47.1238883521000

x17 = -91.1061864057000

x18 = 9.42477894916000

x19 = -3.14159502083000

x20 = 34.5575201954000

x21 = -15.7079632966000

x22 = 47.1238908282000

x23 = 72.2566318143000

x24 = -40.8407028309000

x25 = 72.2566301890000

x26 = 84.8230017459000

x27 = -65.9734467104000

x28 = 84.8230022237000

x29 = -28.2743345507000

x30 = 97.3893735582000

x31 = -3.14159296369000

x32 = -91.1061866270000

x33 = 47.1238893766000

x34 = 34.5575190198000

x35 = -65.9734449212000

x36 = 9.42477693583000

x37 = -15.7079641216000

x38 = 34.5575187273000

x39 = 47.1238897245000

x40 = 59.6902613557000

x41 = -28.2743336521000

x42 = -78.5398173636000

x43 = 84.8230013529000

x44 = 84.8230006714000

x45 = -53.4070752978000

x46 = 72.2566310277000

x47 = 9.42477740824000

x48 = 21.9911494370000

x49 = -78.5398153572000

x50 = -3.14159389872000

x51 = -65.9734466347000

x52 = 59.6902594161000

x53 = -3.14159363499000

x54 = -28.2743337045000

x55 = -78.5398169064000

x56 = -91.1061879411000

x57 = -40.8407055142000

x58 = -3.14159162122000

x59 = 34.5575202880000

x60 = -28.2743333728000

x61 = -65.9734464982000

x62 = 97.3893725977000

x63 = 21.9911493544000

x64 = -3.14159209093000

x65 = -40.8407043325000

x66 = -53.4070744461000

x67 = 59.6902591286000

x68 = 47.1238912424000

x69 = 34.5575182675000

x70 = -53.4070740996000

x71 = 97.3893732552000

x72 = -65.9734457649000

x73 = 84.8230026784000

x74 = 34.5575198675000

x75 = -28.2743329528000

x76 = 47.1238902567000

x77 = 72.2566319572000

x78 = -40.8407040590000

x79 = -91.1061893000000

x80 = 21.9911476515000

x81 = 59.6902608771000

x82 = -28.2743348785000

x83 = -40.8407057344000

x84 = 47.1238887892000

x85 = -40.8407034752000

x86 = 9.42477828112000

x87 = 21.9911485852000

x88 = -78.5398163458000

x89 = 72.2566302523000

x90 = 97.3893717230000

x91 = -65.9734448735000

x92 = -78.5398160356000

x93 = -3.14159244592000