Mister Exam

Other calculators

2*sqrt(3)*sin((x+pi)/3)-cos(2*x)=3*cos(x)-1 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
    ___    /x + pi\                          
2*\/ 3 *sin|------| - cos(2*x) = 3*cos(x) - 1
           \  3   /                          
$$2 \sqrt{3} \sin{\left(\frac{x + \pi}{3} \right)} - \cos{\left(2 x \right)} = 3 \cos{\left(x \right)} - 1$$
The graph
Numerical answer [src]
x1 = -47.1238898038469
x2 = 75.398223686155
x3 = 70.6208205578848
x4 = -65.9734457253857
x5 = -56.5486677646163
x6 = -48.8153044064345
x7 = -51.0934731502777
x8 = 14.0721527932685
x9 = -386.415896391545
x10 = 94.2477796076938
x11 = 75.2238641158549
x12 = -9.42477796076938
x13 = -37.6991118430775
x14 = 65.9734457253857
x15 = 18.6751963512386
x16 = -94.4221391779939
x17 = -4.77740312827025
x18 = -12106.1923047562
x19 = 26.5829192797206
x20 = 89.4703764794235
x21 = -32.2439172287389
x22 = 64.2820311227981
x23 = -141.371669411541
x24 = 80.8534183004936
x25 = -94.2477796076938
x26 = -13.3943613072002
x27 = 18.8495559215388
x28 = -11.116192563357
x29 = -18.8495559215388
x30 = -69.9430290718164
x31 = 47.1238898038469
x32 = 28.2743338823081
x33 = -99.0251827359641
x34 = 5.4551946143386
x35 = -42.4765149713478
x36 = 99.7029742220324
x37 = -61.3260708928865
x38 = -29.9657484848957
x39 = -19.0239154918389
x40 = 51.771264636346
x41 = -80.1756268144253
x42 = -28.2743338823081
x43 = 9.42477796076938
x44 = 7.7333633581818
x45 = 62.0038623789549
x46 = -75.5725832564552
x47 = 24.3047505358774
x48 = -23.626959049809
x49 = 56.3743081943161
x50 = -88.7925849933552
x51 = 83.1315870443368
x52 = 84.8230016469244
x53 = 37.6991118430775
x54 = 32.9217087148073
x55 = 103.672557568463
x56 = -84.8230016469244
x57 = 43.1543064574161
x58 = 0.0
x59 = -56.7230273349164
x60 = -67.6648603279732
x60 = -67.6648603279732