Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation sin(8x)+sin(10x)+cosx=0
-
Equation 4x+37+5x=937
- Equation x^5+32=0
-
Equation cos(x)=-sqrt(2)/2
- Express {x} in terms of y where:
- (x-17)^2+(y+26)^2=16(x−17)2+(y+26)2=16.
- 5*x-5*y=20
- 8*x-7*y=-13
- 15*x-15*y=16
-
Identical expressions
- sin(8x)+sin(1 zero x)+cosx=0
- sinus of (8x) plus sinus of (10x) plus co sinus of e of x equally 0
- sinus of (8x) plus sinus of (1 zero x) plus co sinus of e of x equally 0
- sin8x+sin10x+cosx=0
- sin(8x)+sin(10x)+cosx=O
-
Similar expressions
- sin(8x)+sin(10x)-cosx=0
- sin(8x)-sin(10x)+cosx=0
sin(8x)+sin(10x)+cosx=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
sin(8*x) + sin(10*x) + cos(x) = 0
$$\sin{\left(8 x \right)} + \sin{\left(10 x \right)} + \cos{\left(x \right)} = 0$$
Rapid solution
[src]
-pi
x_1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x_2 = --
2
$$x_{2} = \frac{\pi}{2}$$
Sum and product of roots
[src]
sum
-pi pi ---- + -- 2 2
$$\left(- \frac{\pi}{2}\right) + \left(\frac{\pi}{2}\right)$$
=
0
$$0$$
product
-pi pi ---- * -- 2 2
$$\left(- \frac{\pi}{2}\right) * \left(\frac{\pi}{2}\right)$$
=
2 -pi ----- 4
$$- \frac{\pi^{2}}{4}$$
Numerical answer
[src]
x1 = -79.8779020996072
x2 = -91.7461410131686
x3 = -0.0581776417331443
x4 = -27.9834456736424
x5 = 26.7035375555132
x6 = -44.0404747919902
x7 = 86.5101532571856
x8 = 94.1896019659606
x9 = -76.1545330286859
x10 = -7.73762635050819
x11 = 71.8493875404332
x12 = 95.8185759344887
x13 = 50.2073048157035
x14 = 10.1810873033003
x15 = 32.9867228626928
x16 = -17.744180728609
x17 = -29.845130209103
x18 = 32.0558805949625
x19 = 34.1502756973557
x20 = -47.7638438629115
x21 = 29.9614854925693
x22 = 12.2754824056935
x23 = -73.8274273593601
x24 = -51.7199235007653
x25 = -53.8143186031585
x26 = -63.8208729812593
x27 = -71.9657428238995
x28 = 59.9811486268718
x29 = 36.2446707997489
x30 = -83.833981737461
x31 = 76.0381777452196
x32 = 68.126018469512
x33 = -41.9460796895971
x34 = 15.9988514766147
x35 = -15.6497856262158
x36 = 80.226967950006
x37 = 24.1437213192549
x38 = 84.1830475878598
x39 = -35.89560494935
x40 = 2.03621746066005
x41 = -67.7769526191131
x42 = 62.075543729265
x43 = -77.7835069972139
x44 = -14.0208116576878
x45 = 100.240076706208
x46 = -69.8713477215063
x47 = -97.7966157534156
x48 = -49.8582389653047
x49 = 66.2643339340514
x50 = -1.68715161026119
x51 = -58.0031088079449
x52 = -9.83202145290139
x53 = 14.1371669411541
x54 = 26.2381164216481
x55 = -85.9283768398542
x56 = -37.7572894848107
x57 = -55.9087137055517
x58 = -3.78154671265438
x59 = 7.85398163397448
x60 = -93.8405361155618
x61 = 43.6914089415914
x62 = 90.0008117611743
x63 = 8.08669220090706
x64 = 22.2820367837943
x65 = -61.0283461780684
x66 = 42.2951455399959
x67 = -88.0227719422474
x68 = 40.2007504376027
x69 = -65.2171363828548
x70 = -21.7002603664628
x71 = -81.7395866350678
x72 = 4.13061256305325
x73 = 56.2577795559506
x74 = 46.0185146109172
x75 = -11.9264165552946
x76 = 92.0952068635675
x77 = 20.1876416814011
x78 = 52.0689893511642
x79 = -99.8910108558088
x80 = 54.1633844535574
x81 = 73.9437826428264
x82 = -19.8385758310022
x83 = -39.8516845872039
x84 = 83.4849158870621
x85 = -89.5353906273091
x86 = 18.0932465790079
x87 = 64.1699388316582
x88 = -25.8890505712492
x89 = 78.1325728476128
x90 = 86.277442690253
x91 = -33.8012098469569
x92 = -61.7264778788661
x93 = -31.7068147445637
x94 = 58.1194640914112
x95 = 48.1129097133104
x96 = -45.6694487605183
x97 = 70.2204135719052
x98 = -5.87594181504758
x99 = -95.7022206510224
x100 = 98.1456816038145
x101 = -23.794655468856
x101 = -23.794655468856
The graph