sin(2*x)=cos(x)

Дано

$$\sin{\left (2 x \right )} = \cos{\left (x \right )}$$
Ответ

-pi
x1 = —-
2

$$x_{1} = — \frac{\pi}{2}$$

pi
x2 = —
2

$$x_{2} = \frac{\pi}{2}$$

/ ___
|I / 3 |
x3 = -I*log|- — ——|
2 2 /

$$x_{3} = — i \log{\left (- \frac{\sqrt{3}}{2} + \frac{i}{2} \right )}$$

/ ___
|I / 3 |
x4 = -I*log|- + ——|
2 2 /

$$x_{4} = — i \log{\left (\frac{\sqrt{3}}{2} + \frac{i}{2} \right )}$$
Численный ответ

x1 = 67.5442420522000

x2 = -81.1578102177000

x3 = -100.007366139000

x4 = -39.2699081699000

x5 = 86.3937979737000

x6 = -2937.91272988000

x7 = -17.2787595947000

x8 = 27.7507351067000

x9 = 71.7330322570000

x10 = 6.80678408278000

x11 = 84.2994028713000

x12 = -36.1283155163000

x13 = -89.5353906273000

x14 = 88.4881930761000

x15 = -95.8185759345000

x16 = -93.7241808321000

x17 = -4.71238898038000

x18 = -22.5147473507000

x19 = -49.7418836818000

x20 = 38.2227106187000

x21 = -60.2138591938000

x22 = -80.1106126665000

x23 = -42.4115008235000

x24 = -58.1194640914000

x25 = 58.1194640914000

x26 = -66.4970445010000

x27 = -43.4586983747000

x28 = 95.8185759345000

x29 = 40.3171057211000

x30 = 94.7713783833000

x31 = 36.1283155163000

x32 = 73.8274273594000

x33 = 44.5058959259000

x34 = -14.1371669412000

x35 = 80.1106126665000

x36 = 34.0339204139000

x37 = -87.4409955249000

x38 = -53.9306738866000

x39 = 7.85398163397000

x40 = 23.5619449019000

x41 = 102.101761242000

x42 = 64.4026493986000

x43 = -45.5530934771000

x44 = -12.0427718388000

x45 = -73.8274273594000

x46 = -5.75958653158000

x47 = 14.1371669412000

x48 = 21.4675497995000

x49 = 48.6946861306000

x50 = -83.2522053201000

x51 = 31.9395253115000

x52 = -56.0250689890000

x53 = 51.8362787842000

x54 = 92.6769832809000

x55 = 75.9218224618000

x56 = -3.66519142919000

x57 = 4.71238898038000

x58 = -16.2315620435000

x59 = -51.8362787842000

x60 = -67.5442420522000

x61 = -64.4026493986000

x62 = 57.0722665402000

x63 = -97.9129710369000

x64 = -20.4203522483000

x65 = 50.7890812330000

x66 = -91.6297857297000

x67 = 0.523598775598000

x68 = -7.85398163397000

x69 = -37.1755130675000

x70 = 78.0162175641000

x71 = 65.4498469498000

x72 = -72.7802298082000

x73 = -1.57079632679000

x74 = -23.5619449019000

x75 = -47.6474885794000

x76 = 29.8451302091000

x77 = 42.4115008235000

x78 = -9.94837673637000

x79 = 82.2050077689000

x80 = 20.4203522483000

x81 = -29.8451302091000

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