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cosx-ctgx=0 equation

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You have entered [src]

cos(x) - cot(x) = 0

$$\cos{\left(x \right)} - \cot{\left(x \right)} = 0$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

     -pi 
x1 = ----
      2

$$x_{1} = - \frac{\pi}{2}$$

     pi
x2 = --
     2

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

x2 = pi/2

Sum and product of roots [src]

sum

  pi   pi
- -- + --
  2    2

$$- \frac{\pi}{2} + \frac{\pi}{2}$$

$$0$$

product

-pi  pi
----*--
 2   2

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

   2 
-pi  
-----
  4

$$- \frac{\pi^{2}}{4}$$

-pi^2/4

Numerical answer [src]

x1 = -80.1105780494485

x2 = -39.2699081698724

x3 = -17.2788709625076

x4 = 45.5532115611619

x5 = -70.6858347057703

x6 = 61.261056745001

x7 = 36.1283155162826

x8 = -61.2611723977862

x9 = -23.5619908702395

x10 = 95.8186291789955

x11 = 89.5355131631024

x12 = 20.4203103685492

x13 = -73.8274108928651

x14 = 42.4115008234622

x15 = 80.1106126665397

x16 = -64.4026493985908

x17 = 51.8363275208168

x18 = -67.544292086008

x19 = -86.3936930195103

x20 = 98.9601685880785

x21 = 26.7034304317611

x22 = 7.85402577697277

x23 = -42.4113915253474

x24 = -89.5353906273091

x25 = -26.7035375555132

x26 = 4.71238898038469

x27 = 17.2787595947439

x28 = 1.5709099999453

x29 = 73.8274273593601

x30 = -58.1194640914112

x31 = -51.8362787842316

x32 = -83.2522053201295

x33 = -76.9690200129499

x34 = -14.1371669411541

x35 = 92.6769832808989

x36 = -20.4203522483337

x37 = 14.1371749298497

x38 = -36.1282760721324

x39 = 67.5442420521806

x40 = 54.9778714378214

x41 = 48.6946861306418

x42 = -29.8451150859845

x43 = -95.8185759344887

x44 = -45.553093477052

x45 = -7.85398163397448

x46 = 64.4026116366888

x47 = 29.845130209103

x48 = -1.5707963267949

x49 = -32.9867228626928

x50 = 23.5619449019235

x51 = 10.9955742875643

x52 = 86.3937979737193

x53 = 70.6857317886861

x54 = 58.1194602814847

x54 = 58.1194602814847