Mister Exam

sin3x-cos3x=√2sinx 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]
                        __________
sin(3*x) - cos(3*x) = \/ 2*sin(x) 
$$\sin{\left(3 x \right)} - \cos{\left(3 x \right)} = \sqrt{2 \sin{\left(x \right)}}$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = -12.0427718387609
x2 = 66.1875532974606 - 0.159049507082642*i
x3 = 2.61799387799149
x4 = 96.8657734856853
x5 = -35.081117965086
x6 = -24.1953221755421
x7 = 44.5058959258554
x8 = -87.4409955249159
x9 = -61.8944340186196
x10 = -100.007366139275
x11 = 27.7507351067098
x12 = -72.0425234604903 - 0.159049507082642*i
x13 = 57.0722665402146
x14 = 15.9220708400239 - 0.159049507082642*i
x15 = 94.7713783832921
x16 = -81.1578102177363
x17 = 0.937419053176285
x18 = -91.6297857297023
x19 = -93.7241808320955
x20 = 88.4881930761125
x21 = 13.5037896675355
x22 = -74.4608046329787
x23 = 82.2050077689329
x24 = 90.5825881785057
x25 = 71.733032256967
x26 = 78.0162175641465
x27 = -97.1752646892086 - 0.159049507082642*i
x28 = 84.2994028713261
x29 = -16.2315620435473
x30 = -30.4785074827216
x31 = -97.9129710368819
x32 = 19.786974974715
x33 = -9.94837673636768
x34 = -56.025068989018
x35 = -49.7418836818384
x36 = 59.904367990281 - 0.159049507082642*i
x37 = -47.6474885794452
x38 = 70.0524574321517
x39 = -5.75958653158129
x40 = -43.4586983746588
x41 = 38.2227106186758
x42 = 76.3356427393313
x43 = -3.66519142918809
x44 = 31.9395253114962
x45 = -37.1755130674792
x46 = -68.1776193257992
x47 = 63.7692721249721
x48 = -60.2138591938044
x49 = -53.9306738866248
x50 = -85.3466004225227
x51 = 26.0701602818946
x52 = -78.3257087676699 - 0.159049507082642*i
x53 = -21.7770410030536 - 0.159049507082642*i
x54 = -41.3643032722656
x55 = 8.90117918517108
x56 = 50.789081233035
x57 = 52.8834763354282
x58 = -17.9121368683625
x59 = 57.4860868177926
x60 = -65.7593381533107 - 0.159049507082642*i
x61 = 6.80678408277789
x62 = 40.317105721069
x63 = 34.0339204138894
x64 = 46.6002910282486
x65 = -28.0602263102332 - 0.159049507082642*i
x66 = 22.2052561472035 - 0.159049507082642*i
x66 = 22.2052561472035 - 0.159049507082642*i