sin(3*t)=1

$$sin{left (3 t right )} = 1$$

Дано уравнение
$$sin{left (3 t right )} = 1$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$3 t = 2 pi n + {asin}{left (1 right )}$$
$$3 t = 2 pi n – {asin}{left (1 right )} + pi$$
Или
$$3 t = 2 pi n + frac{pi}{2}$$
$$3 t = 2 pi n + frac{pi}{2}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$3$$
получим ответ:
$$t_{1} = frac{2 pi}{3} n + frac{pi}{6}$$
$$t_{2} = frac{2 pi}{3} n + frac{pi}{6}$$

pi
t1 = —
6

$$t_{1} = frac{pi}{6}$$

t1 = 48.6946859684000

t2 = 6.80678394974000

t3 = 80.1106131529000

t4 = 21.4675499465000

t5 = -85.3466004035000

t6 = -89.5353907408000

t7 = -41.3643034313000

t8 = -14.1371668430000

t9 = 84.2994028383000

t10 = -91.6297858015000

t11 = 19.3731547553000

t12 = 17.2787592808000

t13 = 52.8834762893000

t14 = -51.8362786905000

t15 = -16.2315619073000

t16 = -7.85398150192000

t17 = 54.9778717979000

t18 = 94.7713782337000

t19 = 46.6002908749000

t20 = -1.57079642588000

t21 = -28.7979326033000

t22 = -85.3466005834000

t23 = -3.66519148255000

t24 = 69.6386373203000

t25 = -100.007366131000

t26 = 42.4115007321000

t27 = 90.5825880288000

t28 = -81.1578103225000

t29 = -22.5147471968000

t30 = -83.2522054763000

t31 = -12.0427717978000

t32 = 40.3171056776000

t33 = -43.4586985139000

t34 = 73.8274274735000

t35 = 4.71238881902000

t36 = -49.7418836877000

t37 = -60.2138590636000

t38 = -24.6091423681000

t39 = -45.5530935835000

t40 = -64.4026492298000

t41 = 71.7330324040000

t42 = 25.6563401677000

t43 = 50.7890810906000

t44 = -68.5914394977000

t45 = -47.6474886423000

t46 = -56.0250689630000

t47 = -62.3082541392000

t48 = -18.3259569855000

t49 = 31.9395253655000

t50 = 29.8451303155000

t51 = 75.9218225274000

t52 = 10.9955746929000

t53 = 38.2227106406000

t54 = 63.3554518703000

t55 = 96.8657734100000

t56 = -3.66519119284000

t57 = -26.7035377567000

t58 = -87.4409956690000

t59 = -53.9306741018000

t60 = -35.0811179202000

t61 = 65.4498470877000

t62 = 61.2610563292000

t63 = 88.4881929539000

t64 = -58.1194640022000

t65 = -39.2699083293000

t66 = 86.3937978905000

t67 = 23.5619450702000

t68 = 34.0339203588000

t69 = 67.5442422190000

t70 = 92.6769831187000

t71 = 2.61799372150000

t72 = -37.1755131460000

t73 = -5.75958652427000

t74 = -20.4203520794000

t75 = -37.1755131882000

t76 = 0.523598641616000

t77 = -9.94837684429000

t78 = 98.9601688300000

t79 = 78.0162175421000

t80 = 82.2050078076000

t81 = 44.5058957976000

t82 = -70.6858348165000

t83 = -95.8185758683000

t84 = -66.4970445282000

t85 = -66.4970443417000

t86 = 27.7507352486000

t87 = -79.0634150012000

t88 = -93.7241808502000

t89 = 8.90117917814000