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((tan(x)+Sqrt(3))*(log13(2*(sin(x))^2)))/(log31(Sqrt(2)*cos(x)))=0

  • How to use it?

  • Equation:
  • Equation e^x=0 Equation e^x=0
  • Equation x^2=10 Equation x^2=10
  • Equation cos(x)=3 Equation cos(x)=3
  • Equation x^2-3x-4=0 Equation x^2-3x-4=0
  • Express {x} in terms of y where:
  • 2*x+2*y=-6
  • 7*x+20*y=-17
  • 12*x+14*y=-15
  • -11*x+10*y=-9

  • Identical expressions

  • ((tan(x)+Sqrt(three))*(log13(two *(sin(x))^ two)))/(log31(Sqrt(two)*cos(x)))= zero
  • (( tangent of (x) plus Sqrt(3)) multiply by ( logarithm of 13(2 multiply by ( sinus of (x)) squared ))) divide by ( logarithm of 31(Sqrt(2) multiply by co sinus of e of (x))) equally 0
  • (( tangent of (x) plus Sqrt(three)) multiply by ( logarithm of 13(two multiply by ( sinus of (x)) to the power of two))) divide by ( logarithm of 31(Sqrt(two) multiply by co sinus of e of (x))) equally zero
  • ((tan(x)+Sqrt(3))*(log13(2*(sin(x))2)))/(log31(Sqrt(2)*cos(x)))=0
  • tanx+Sqrt3*log132*sinx2/log31Sqrt2*cosx=0
  • ((tan(x)+Sqrt(3))*(log13(2*(sin(x))²)))/(log31(Sqrt(2)*cos(x)))=0
  • ((tan(x)+Sqrt(3))*(log13(2*(sin(x)) to the power of 2)))/(log31(Sqrt(2)*cos(x)))=0
  • ((tan(x)+Sqrt(3))(log13(2(sin(x))^2)))/(log31(Sqrt(2)cos(x)))=0
  • ((tan(x)+Sqrt(3))(log13(2(sin(x))2)))/(log31(Sqrt(2)cos(x)))=0
  • tanx+Sqrt3log132sinx2/log31Sqrt2cosx=0
  • tanx+Sqrt3log132sinx^2/log31Sqrt2cosx=0
  • ((tan(x)+Sqrt(3))*(log13(2*(sin(x))^2)))/(log31(Sqrt(2)*cos(x)))=O
  • ((tan(x)+Sqrt(3))*(log13(2*(sin(x))^2))) divide by (log31(Sqrt(2)*cos(x)))=0

  • Similar expressions

  • ((tan(x)-Sqrt(3))*(log13(2*(sin(x))^2)))/(log31(Sqrt(2)*cos(x)))=0
  • ((tan(x)+Sqrt(3))*(log13(2*(sinx)^2)))/(log31(Sqrt(2)*cosx))=0

((tan(x)+Sqrt(3))*(log13(2*(sin(x))^2)))/(log31(Sqrt(2)*cos(x)))=0 equation

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Numerical solution:

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The solution

You have entered [src] 
/           ___\    /     2   \    
\tan(x) + \/ 3 /*log\2*sin (x)/    
------------------------------- = 0
              /  ___       \       
           log\\/ 2 *cos(x)/       
   log(13)*-----------------       
                log(31)
$$\frac{\left(\tan{\left(x \right)} + \sqrt{3}\right) \log{\left(2 \sin^{2}{\left(x \right)} \right)}}{\frac{\log{\left(\sqrt{2} \cos{\left(x \right)} \right)}}{\log{\left(31 \right)}} \log{\left(13 \right)}} = 0$$
Simplify
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
      -pi 
x_1 = ----
       3
$$x_{1} = - \frac{\pi}{3}$$
Simplify 
      3*pi
x_2 = ----
       4
$$x_{2} = \frac{3 \pi}{4}$$
Simplify 
      5*pi
x_3 = ----
       4
$$x_{3} = \frac{5 \pi}{4}$$
Simplify
Sum and product of roots [src] 
sum
-pi    3*pi   5*pi
---- + ---- + ----
 3      4      4
$$\left(- \frac{\pi}{3}\right) + \left(\frac{3 \pi}{4}\right) + \left(\frac{5 \pi}{4}\right)$$ 
=
5*pi
----
 3
$$\frac{5 \pi}{3}$$
Simplify 
product
-pi    3*pi   5*pi
---- * ---- * ----
 3      4      4
$$\left(- \frac{\pi}{3}\right) * \left(\frac{3 \pi}{4}\right) * \left(\frac{5 \pi}{4}\right)$$ 
=
     3
-5*pi 
------
  16
$$- \frac{5 \pi^{3}}{16}$$
Simplify
Numerical answer [src] 
x1 = 77.7544181763474
x2 = 33.7721210260903
x3 = 68.0678408277789
x4 = -27.4889357189107
x5 = -40.0553063332699
x6 = -52.621676947629
x7 = 41.6261026600648
x8 = 8.37758040957278
x9 = -3.92699081698724
x10 = 36.6519142918809
x11 = -70.162235930172
x12 = -77.7544181763474
x13 = -46.3384916404494
x14 = 5.23598775598299
x15 = 61.7846555205993
x16 = -98.174770424681
x17 = 90.3207887907066
x18 = 17.8023583703422
x19 = -2.35619449019234
x20 = 71.2094334813686
x21 = -57.5958653158129
x22 = -73.3038285837618
x23 = 60.4756585816035
x24 = -41.8879020478639
x25 = -79.5870138909414
x26 = -26.1799387799149
x27 = 52.3598775598299
x28 = -16.4933614313464
x29 = -16.7551608191456
x30 = -60.7374579694027
x31 = 66.7588438887831
x32 = -32.4631240870945
x33 = -65.1880475619882
x34 = 96.342174710087
x35 = 11.5191730631626
x36 = -54.1924732744239
x37 = -8.63937979737193
x38 = 35.3429173528852
x39 = 10.2101761241668
x40 = 93.2005820564972
x41 = -35.6047167406843
x42 = 71.4712328691678
x43 = -63.8790506229925
x44 = 2.35619449019234
x45 = 39.7935069454707
x46 = -10.2101761241668
x47 = -19.8967534727354
x48 = -29.3215314335047
x49 = 22.776546738526
x50 = 99.4837673636768
x51 = -13.6135681655558
x52 = 24.0855436775217
x53 = -85.6083998103219
x54 = 55.5014702134197
x55 = -82.7286065445312
x56 = -60.4756585816035
x57 = -91.8915851175014
x58 = 40.0553063332699
x59 = 27.2271363311115
x60 = -33.7721210260903
x61 = -84.037603483527
x62 = -71.4712328691678
x63 = -96.6039740978861
x64 = 30.3687289847013
x65 = 84.037603483527
x66 = 3.92699081698724
x67 = 16.4933614313464
x68 = 80.634211442138
x69 = 49.2182849062401
x70 = 47.9092879672443
x71 = -38.7463093942741
x72 = 98.174770424681
x73 = -76.4454212373516
x74 = 27.4889357189107
x75 = -47.9092879672443
x76 = -90.3207887907066
x77 = 74.3510261349584
x78 = 85.6083998103219
x79 = 91.8915851175014
x80 = 14.6607657167524
x81 = 58.6430628670095
x82 = 54.1924732744239
x83 = -21.2057504117311
x83 = -21.2057504117311
The graph
((tan(x)+Sqrt(3))*(log13(2*(sin(x))^2)))/(log31(Sqrt(2)*cos(x)))=0 equation
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