Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation tan(x)=0
-
Equation x+3=-9x
-
Equation (x-2)^2+(x-3)^2=2x^2
-
Equation 3x^2-27=0
- Express {x} in terms of y where:
- 17*x-18*y=10
- -12*x-3*y=-9
- 4*x+16*y=6
- -6*x-2*y=-10
-
Identical expressions
- sin(two x)+sqrt(2)*sin(x)= zero
- sinus of (2x) plus square root of (2) multiply by sinus of (x) equally 0
- sinus of (two x) plus square root of (2) multiply by sinus of (x) equally zero
- sin(2x)+√(2)*sin(x)=0
- sin(2x)+sqrt(2)sin(x)=0
- sin2x+sqrt2sinx=0
- sin(2x)+sqrt(2)*sin(x)=O
-
Similar expressions
- sin(2x)-sqrt(2)*sin(x)=0
- sin(2x)+sqrt(2sin(x)-2sin(x)^3)=0
- sin(2x)+sqrt(2)*sinx=0
sin(2x)+sqrt(2)*sin(x)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___ sin(2*x) + \/ 2 *sin(x) = 0
$$\sqrt{2} \sin{\left(x \right)} + \sin{\left(2 x \right)} = 0$$
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-3*pi
x2 = -----
4
$$x_{2} = - \frac{3 \pi}{4}$$
3*pi
x3 = ----
4
$$x_{3} = \frac{3 \pi}{4}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Sum and product of roots
[src]
sum
3*pi 3*pi - ---- + ---- + pi 4 4
$$\left(- \frac{3 \pi}{4} + \frac{3 \pi}{4}\right) + \pi$$
=
pi
$$\pi$$
product
-3*pi 3*pi
0*-----*----*pi
4 4
$$\pi \frac{3 \pi}{4} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -43.9822971502571
x2 = -2.35619449019234
x3 = 41.6261026600648
x4 = -311.01767270539
x5 = 56.5486677646163
x6 = -84.037603483527
x7 = 28.2743338823081
x8 = -81.6814089933346
x9 = 96.6039740978861
x10 = -96.6039740978861
x11 = -15.707963267949
x12 = -71.4712328691678
x13 = 65.1880475619882
x14 = 72.2566310325652
x15 = 29.0597320457056
x16 = 115.453530019425
x17 = -79.3252145031423
x18 = -52.621676947629
x19 = 461.8141200777
x20 = 100.530964914873
x21 = -9.42477796076938
x22 = 81.6814089933346
x23 = -35.3429173528852
x24 = -21.9911485751286
x25 = -204.988920646734
x26 = -77.7544181763474
x27 = 16.4933614313464
x28 = -8.63937979737193
x29 = 50.2654824574367
x30 = 71.4712328691678
x31 = -85.6083998103219
x32 = -6.28318530717959
x33 = 3.14159265358979
x34 = -25.1327412287183
x35 = -342.433599241287
x36 = -3.92699081698724
x37 = 90.3207887907066
x38 = -73.0420291959627
x39 = -41.6261026600648
x40 = -87.9645943005142
x41 = -27.4889357189107
x42 = 14.9225651045515
x43 = 600.04419683565
x44 = 0.0
x45 = 31.4159265358979
x46 = -47.9092879672443
x47 = 47.9092879672443
x48 = -58.9048622548086
x49 = -65.9734457253857
x50 = 18.8495559215388
x51 = 8.63937979737193
x52 = 6.28318530717959
x53 = 77.7544181763474
x54 = 94.2477796076938
x55 = 54.1924732744239
x56 = 65.9734457253857
x57 = -56.5486677646163
x58 = -98.174770424681
x59 = 21.9911485751286
x60 = 85.6083998103219
x61 = 75.398223686155
x62 = 84.037603483527
x63 = 87.9645943005142
x64 = 12.5663706143592
x65 = 3.92699081698724
x66 = -37.6991118430775
x67 = -12.5663706143592
x68 = 79.3252145031423
x69 = 10.2101761241668
x70 = -100.530964914873
x71 = 58.9048622548086
x72 = 52.621676947629
x73 = -33.7721210260903
x74 = -54.1924732744239
x75 = -46.3384916404494
x76 = 43.9822971502571
x77 = 46.3384916404494
x78 = -50.2654824574367
x79 = 37.6991118430775
x80 = -91.8915851175014
x81 = 2.35619449019234
x82 = -59.6902604182061
x83 = -3095.25416194934
x84 = -75.398223686155
x85 = -69.1150383789755
x86 = 40.0553063332699
x87 = 91.8915851175014
x88 = -90.3207887907066
x89 = 62.8318530717959
x90 = -40.0553063332699
x91 = 98.174770424681
x92 = -14.9225651045515
x93 = 21.2057504117311
x94 = -94.2477796076938
x95 = -31.4159265358979
x96 = 35.3429173528852
x97 = -29.0597320457056
x97 = -29.0597320457056