sin(x/2+6*pi)=1

Дано

$$\sin{\left (\frac{x}{2} + 6 \pi \right )} = 1$$
Подробное решение
Дано уравнение
$$\sin{\left (\frac{x}{2} + 6 \pi \right )} = 1$$
— это простейшее тригонометрическое ур-ние
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
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
, где n — любое целое число
Разделим обе части полученного ур-ния на
$$\frac{1}{2}$$
получим ответ:
$$x_{1} = 4 \pi n + \pi$$
$$x_{2} = 4 \pi n + \pi$$
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Ответ
$$x_{1} = \pi$$
Численный ответ

x1 = 78.5398173426000

x2 = 15.7079642015000

x3 = -9.42477813899000

x4 = -59.6902596539000

x5 = 53.4070754394000

x6 = -21.9911477832000

x7 = 14944.5562554000

x8 = 91.1061882841000

x9 = -21.9911485864000

x10 = -34.5575202139000

x11 = 15.7079622687000

x12 = -72.2566320255000

x13 = -21.9911494918000

x14 = 28.2743330336000

x15 = 15.7079632664000

x16 = 65.9734447951000

x17 = -34.5575197491000

x18 = 53.4070749521000

x19 = 91.1061874145000

x20 = -59.6902612769000

x21 = 53.4070761022000

x22 = 78.5398154219000

x23 = -9.42477566525000

x24 = 53.4070740857000

x25 = -9.42477695203000

x26 = -47.1238887712000

x27 = -72.2566308637000

x28 = -97.3893716029000

x29 = 91.1061853900000

x30 = -47.1238895379000

x31 = 3.14159420425000

x32 = 28.2743331152000

x33 = 3.14159309887000

x34 = -34.5575182040000

x35 = 78.5398161787000

x36 = 15.7079626061000

x37 = 3.14159367655000

x38 = 91.1061859410000

x39 = 53.4070740915000

x40 = -84.8230026657000

x41 = 40.8407056713000

x42 = -72.2566304993000

x43 = -72.2566334562000

x44 = -47.1238907881000

x45 = -9.42477888682000

x46 = -9.42477839609000

x47 = 15.7079634546000

x48 = -47.1238918186000

x49 = 40.8407041946000

x50 = -59.6902611574000

x51 = 65.9734465922000

x52 = -59.6902594740000

x53 = -72.2566301071000

x54 = -84.8230027834000

x55 = 40.8407035182000

x56 = -59.6902604578000

x57 = 103.672556564000

x58 = -47.1238901219000

x59 = 15.7079645158000

x60 = 65.9734449700000

x61 = 28.2743348137000

x62 = 91.1061865345000

x63 = -84.8230020969000

x64 = 65.9734457530000

x65 = -72.2566317074000

x66 = -84.8229998636000

x67 = -9.42477728929000

x68 = -34.5575188772000

x69 = 65.9734464914000

x70 = 78.5398158519000

x71 = -97.3893712474000

x72 = 78.5398170242000

x73 = -97.3893731952000

x74 = 40.8407055286000

x75 = 3.14159221874000

x76 = 28.2743346583000

x77 = -21.9911477182000

x78 = -84.8230006270000

x79 = 16741.5472539000

x80 = -97.3893724565000

x81 = 40.8407046487000

x82 = 91.1061879797000

x83 = 3.14159163746000

x84 = 53.4070745656000

x85 = -84.8230012169000

x86 = 40.8407050664000

x87 = 15.7079637527000

x88 = 3.14159131071000

x89 = 78.5398162376000

x90 = -34.5575192441000

x91 = -47.1238892483000

x92 = -21.9911493422000

x93 = 28.2743338652000

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