cos(z)=j (уравнение)

Найду корень уравнения: cos(z)=j

Вы ввели

cos(z) = I

$$\cos{\left (z \right )} = i$$

Подробное решение

Дано уравнение
$$\cos{\left (z \right )} = i$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$z = \pi n + \operatorname{acos}{\left (i \right )}$$
$$z = \pi n - \pi + \operatorname{acos}{\left (i \right )}$$
Или
$$z = \pi n + \operatorname{acos}{\left (i \right )}$$
$$z = \pi n - \pi + \operatorname{acos}{\left (i \right )}$$
, где n - любое целое число

Быстрый ответ

Данное ур-ние не имеет решений

Численный ответ

z1 = 80.1106126665 + 0.88137358702*i

z2 = 29.8451302091 + 0.88137358702*i

z3 = 73.8274273594 + 0.88137358702*i

z4 = -58.1194640914 + 0.88137358702*i

z5 = 98.9601685881 + 0.88137358702*i

z6 = -51.8362787842 + 0.88137358702*i

z7 = -4.71238898038 - 0.88137358702*i

z8 = -83.2522053201 + 0.88137358702*i

z9 = 48.6946861306 + 0.88137358702*i

z10 = 45.5530934771 - 0.88137358702*i

z11 = -73.8274273594 - 0.88137358702*i

z12 = -67.5442420522 - 0.88137358702*i

z13 = 61.261056745 + 0.88137358702*i

z14 = -95.8185759345 + 0.88137358702*i

z15 = -92.6769832809 - 0.88137358702*i

z16 = 32.9867228627 - 0.88137358702*i

z17 = 67.5442420522 + 0.88137358702*i

z18 = -29.8451302091 - 0.88137358702*i

z19 = -17.2787595947 - 0.88137358702*i

z20 = 64.4026493986 - 0.88137358702*i

z21 = 89.5353906273 - 0.88137358702*i

z22 = -10.9955742876 - 0.88137358702*i

z23 = 86.3937979737 + 0.88137358702*i

z24 = 70.6858347058 - 0.88137358702*i

z25 = 17.2787595947 + 0.88137358702*i

z26 = 20.4203522483 - 0.88137358702*i

z27 = 4.71238898038 + 0.88137358702*i

z28 = 76.9690200129 - 0.88137358702*i

z29 = -76.9690200129 + 0.88137358702*i

z30 = -36.1283155163 - 0.88137358702*i

z31 = 23.5619449019 + 0.88137358702*i

z32 = 83.2522053201 - 0.88137358702*i

z33 = -61.261056745 - 0.88137358702*i

z34 = 14.1371669412 - 0.88137358702*i

z35 = -80.1106126665 - 0.88137358702*i

z36 = 95.8185759345 - 0.88137358702*i

z37 = 51.8362787842 - 0.88137358702*i

z38 = -32.9867228627 + 0.88137358702*i

z39 = 7.85398163397 - 0.88137358702*i

z40 = 26.7035375555 - 0.88137358702*i

z41 = -39.2699081699 + 0.88137358702*i

z42 = -86.3937979737 - 0.88137358702*i

z43 = -26.7035375555 + 0.88137358702*i

z44 = -64.4026493986 + 0.88137358702*i

z45 = -70.6858347058 + 0.88137358702*i

z46 = 10.9955742876 + 0.88137358702*i

z47 = -89.5353906273 + 0.88137358702*i

z48 = -23.5619449019 - 0.88137358702*i

z49 = 39.2699081699 - 0.88137358702*i

z50 = -14.1371669412 + 0.88137358702*i

z51 = -1.57079632679 + 0.88137358702*i

z52 = 1.57079632679 - 0.88137358702*i

z53 = 92.6769832809 + 0.88137358702*i

z54 = -98.9601685881 - 0.88137358702*i

z55 = -54.9778714378 - 0.88137358702*i

z56 = -45.5530934771 + 0.88137358702*i

z57 = 36.1283155163 + 0.88137358702*i

z58 = -48.6946861306 - 0.88137358702*i

z59 = 42.4115008235 + 0.88137358702*i

z60 = 54.9778714378 + 0.88137358702*i

z61 = -42.4115008235 - 0.88137358702*i

z62 = -7.85398163397 + 0.88137358702*i

z63 = 58.1194640914 - 0.88137358702*i

z64 = -20.4203522483 + 0.88137358702*i