cos(t)=3^(1/2)/2

Дано

$$\cos{\left (t \right )} = \frac{\sqrt{3}}{2}$$
Подробное решение
Дано уравнение
$$\cos{\left (t \right )} = \frac{\sqrt{3}}{2}$$
— это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$t = \pi n + {acos}{\left (\frac{\sqrt{3}}{2} \right )}$$
$$t = \pi n — \pi + {acos}{\left (\frac{\sqrt{3}}{2} \right )}$$
Или
$$t = \pi n + \frac{\pi}{6}$$
$$t = \pi n — \frac{5 \pi}{6}$$
, где n — любое целое число
Читайте также  x^4-8*x^2-9=0
Ответ

pi
t1 = —
6

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

11*pi
t2 = ——
6

$$t_{2} = \frac{11 \pi}{6}$$
Численный ответ

t1 = 93.7241808321000

t2 = -81.1578102177000

t3 = -30.8923277603000

t4 = 44.5058959259000

t5 = 100.007366139000

t6 = -49.7418836818000

t7 = 37.1755130675000

t8 = -37.1755130675000

t9 = 69.6386371546000

t10 = 88.4881930761000

t11 = 6.80678408278000

t12 = -93.7241808321000

t13 = 1186.99842428000

t14 = -88.4881930761000

t15 = -69.6386371546000

t16 = 62.3082542962000

t17 = 38.2227106187000

t18 = -100.007366139000

t19 = 22832.5718075000

t20 = 49.7418836818000

t21 = -38.2227106187000

t22 = -62.3082542962000

t23 = -43.4586983747000

t24 = -12779.4753160000

t25 = 94.7713783833000

t26 = 194.255145747000

t27 = 81.1578102177000

t28 = -63.3554518474000

t29 = -44.5058959259000

t30 = -87.4409955249000

t31 = -74.8746249106000

t32 = 68.5914396034000

t33 = -7495.31647269000

t34 = 63.3554518474000

t35 = 5.75958653158000

t36 = 50.7890812330000

t37 = -68.5914396034000

t38 = -50.7890812330000

t39 = -12.0427718388000

t40 = -94.7713783833000

t41 = 43.4586983747000

t42 = -0.523598775598000

t43 = 13.0899693900000

t44 = 31.9395253115000

t45 = -56.0250689890000

t46 = -18.3259571459000

t47 = -5.75958653158000

t48 = 75.9218224618000

t49 = -82.2050077689000

t50 = -24.6091424531000

t51 = 57.0722665402000

t52 = 25.6563400043000

t53 = 18.3259571459000

t54 = -57.0722665402000

t55 = -13.0899693900000

t56 = 30.8923277603000

t57 = -101.054563690000

t58 = 56.0250689890000

t59 = -54449.5602732000

t60 = 0.523598775598000

t61 = 19.3731546971000

t62 = 24.6091424531000

t63 = 87.4409955249000

t64 = -6.80678408278000

t65 = 12.0427718388000

t66 = -25.6563400043000

t67 = -19.3731546971000

t68 = -31.9395253115000

t69 = 82.2050077689000

t70 = 74.8746249106000

t71 = -75.9218224618000

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