Mister Exam

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How to use it?
Equation:
Equation (5x+8)-(8x+14)=9
Equation tan(x)=1
Equation tg(x)=-1
Equation sin(x)=3/2
Express {x} in terms of y where:
1*x+19*y=-10
-16*x-7*y=-5
-2*x+1*y=-8
1*x-19*y=-10
Identical expressions
tgx- three ^(one / two)*ctgx= three ^(one / two)- one
tgx minus 3 to the power of (1 divide by 2) multiply by ctgx equally 3 to the power of (1 divide by 2) minus 1
tgx minus three to the power of (one divide by two) multiply by ctgx equally three to the power of (one divide by two) minus one
tgx-3(1/2)*ctgx=3(1/2)-1
tgx-31/2*ctgx=31/2-1
tgx-3^(1/2)ctgx=3^(1/2)-1
tgx-3(1/2)ctgx=3(1/2)-1
tgx-31/2ctgx=31/2-1
tgx-3^1/2ctgx=3^1/2-1
tgx-3^(1 divide by 2)*ctgx=3^(1 divide by 2)-1
Similar expressions
tgx+3^(1/2)*ctgx=3^(1/2)-1
tgx-3^(1/2)*ctgx=3^(1/2)+1

tgx-3^(1/2)*ctgx=3^(1/2)-1 equation

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

You have entered [src]

           ___            ___    
tan(x) - \/ 3 *cot(x) = \/ 3  - 1

$$\tan{\left(x \right)} - \sqrt{3} \cot{\left(x \right)} = -1 + \sqrt{3}$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

     -pi 
x1 = ----
      4

$$x_{1} = - \frac{\pi}{4}$$

     pi
x2 = --
     3

$$x_{2} = \frac{\pi}{3}$$

x2 = pi/3

Sum and product of roots [src]

sum

  pi   pi
- -- + --
  4    3

$$- \frac{\pi}{4} + \frac{\pi}{3}$$

pi
--
12

$$\frac{\pi}{12}$$

product

-pi  pi
----*--
 4   3

$$- \frac{\pi}{4} \frac{\pi}{3}$$

   2 
-pi  
-----
  12

$$- \frac{\pi^{2}}{12}$$

-pi^2/12

Numerical answer [src]

x1 = -86.9173967493176

x2 = 82.7286065445312

x3 = -2.0943951023932

x4 = 2.35619449019234

x5 = -99.4837673636768

x6 = 5.49778714378214

x7 = -96.342174710087

x8 = 41.8879020478639

x9 = 70.162235930172

x10 = 99.7455667514759

x11 = 54.4542726622231

x12 = 33.7721210260903

x13 = -54.1924732744239

x14 = -39.7935069454707

x15 = 96.6039740978861

x16 = 48.1710873550435

x17 = -32.2013246992954

x18 = 67.0206432765823

x19 = 63.8790506229925

x20 = 23.0383461263252

x21 = 27.4889357189107

x22 = -74.3510261349584

x23 = -41.6261026600648

x24 = 89.0117918517108

x25 = 62.0464549083984

x26 = 58.9048622548086

x27 = 8.63937979737193

x28 = 80.8960108299372

x29 = 98.4365698124802

x30 = -19.6349540849362

x31 = -42.9350995990605

x32 = 16.7551608191456

x33 = -77.4926187885482

x34 = 32.4631240870945

x35 = -85.6083998103219

x36 = -82.4668071567321

x37 = 24.3473430653209

x38 = -35.3429173528852

x39 = -71.2094334813686

x40 = -55.5014702134197

x41 = 77.7544181763474

x42 = 60.7374579694027

x43 = -64.9262481741891

x44 = -27.2271363311115

x45 = -90.0589894029074

x46 = 46.3384916404494

x47 = 38.7463093942741

x48 = 19.8967534727354

x49 = 85.870199198121

x50 = 26.1799387799149

x51 = -93.2005820564972

x52 = -3.92699081698724

x53 = 45.0294947014537

x54 = -30.3687289847013

x55 = 92.1533845053006

x56 = -17.8023583703422

x57 = -98.174770424681

x58 = -20.943951023932

x59 = -79.3252145031423

x60 = 93.4623814442964

x61 = 36.9137136796801

x62 = 74.6128255227576

x63 = -68.0678408277789

x64 = -13.3517687777566

x65 = 18.0641577581413

x66 = 11.7809724509617

x67 = -5.23598775598299

x68 = 55.7632696012188

x69 = -7.06858347057703

x70 = -63.6172512351933

x71 = 10.471975511966

x72 = -46.0766922526503

x73 = -47.9092879672443

x74 = -49.2182849062401

x75 = -52.3598775598299

x76 = -24.0855436775217

x77 = -61.7846555205993

x78 = 4.18879020478639

x79 = 40.0553063332699

x80 = -57.3340659280137

x81 = -25.9181393921158

x82 = -10.2101761241668

x83 = -91.8915851175014

x84 = -69.9004365423729

x85 = 90.3207887907066

x86 = -60.4756585816035

x87 = 71.4712328691678

x88 = 14.9225651045515

x89 = -38.484510006475

x90 = 30.6305283725005

x91 = -11.5191730631626

x92 = 49.4800842940392

x93 = -33.5103216382911

x94 = -76.1836218495525

x95 = -83.7758040957278

x96 = 52.621676947629

x97 = -16.4933614313464

x98 = 76.4454212373516

x99 = 68.329640215578

x100 = 84.037603483527

x100 = 84.037603483527