Mister Exam

Other calculators

(tan(x)-2*cot(x))+1=0 equation

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

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
tan(x) - 2*cot(x) + 1 = 0
$$\left(\tan{\left(x \right)} - 2 \cot{\left(x \right)}\right) + 1 = 0$$
The graph
Rapid solution [src]
     pi
x1 = --
     4 
$$x_{1} = \frac{\pi}{4}$$
x2 = -atan(2)
$$x_{2} = - \operatorname{atan}{\left(2 \right)}$$
x2 = -atan(2)
Sum and product of roots [src]
sum
pi          
-- - atan(2)
4           
$$- \operatorname{atan}{\left(2 \right)} + \frac{\pi}{4}$$
=
           pi
-atan(2) + --
           4 
$$- \operatorname{atan}{\left(2 \right)} + \frac{\pi}{4}$$
product
pi           
--*(-atan(2))
4            
$$\frac{\pi}{4} \left(- \operatorname{atan}{\left(2 \right)}\right)$$
=
-pi*atan(2) 
------------
     4      
$$- \frac{\pi \operatorname{atan}{\left(2 \right)}}{4}$$
-pi*atan(2)/4
Numerical answer [src]
x1 = 52.2999263932324
x2 = -19.9567046393328
x3 = -74.6128255227576
x4 = -33.7721210260903
x5 = 3.92699081698724
x6 = -96.6039740978861
x7 = -43.1968989868597
x8 = 16.4933614313464
x9 = 89.9990382363099
x10 = 60.4756585816035
x11 = 30.3087778181038
x12 = -99.7455667514759
x13 = 2.0344439357957
x14 = -2.35619449019234
x15 = -55.7632696012188
x16 = 63.6172512351933
x17 = 32.2013246992954
x18 = -76.5053724039491
x19 = -32.523075253692
x20 = -60.7974091360002
x21 = -90.3207887907066
x22 = 91.8915851175014
x23 = 39.7335557788732
x24 = -71.4712328691678
x25 = 55.4415190468222
x26 = 61.7247043540018
x27 = 47.9092879672443
x28 = -10.5319266785635
x29 = -82.7885577111287
x30 = -11.7809724509617
x31 = 14.6008145501549
x32 = -38.8062605608716
x33 = 74.2910749683609
x34 = -62.0464549083984
x35 = 68.0078896611814
x36 = -79.6469650575389
x37 = 93.1406308898997
x38 = -18.0641577581413
x39 = 82.4668071567321
x40 = -54.5142238288206
x41 = 54.1924732744239
x42 = -49.4800842940392
x43 = 5.1760365893855
x44 = 88.7499924639117
x45 = -77.7544181763474
x46 = -46.3384916404494
x47 = -87.1791961371168
x48 = 96.2822235434895
x49 = 36.5919631252834
x50 = 83.7158529291303
x51 = -70.2221870967695
x52 = 22.776546738526
x53 = -26.2398899465124
x54 = 80.5742602755405
x55 = 19.6349540849362
x56 = 44.7676953136546
x57 = 11.4592218965651
x58 = 24.0255925109243
x59 = -16.8151119857431
x60 = -41.9478532144614
x61 = 85.6083998103219
x62 = 27.167185164514
x63 = 76.1836218495525
x64 = 69.9004365423729
x65 = -98.4965209790777
x66 = 46.0167410860528
x67 = 98.174770424681
x68 = 41.6261026600648
x69 = -24.3473430653209
x70 = -92.2133356718981
x71 = -93.4623814442964
x72 = -27.4889357189107
x73 = -52.621676947629
x74 = -48.231038521641
x75 = -4.24874137138388
x76 = -84.037603483527
x77 = 10.2101761241668
x78 = 71.1494823147711
x79 = 25.9181393921158
x80 = -29.3814826001022
x81 = 17.7424072037447
x82 = 8.31762924297529
x83 = -13.6735193321533
x84 = -68.329640215578
x85 = -65.1880475619882
x86 = -7.39033402497368
x87 = -57.6558164824104
x88 = -40.0553063332699
x89 = 58.583111700412
x90 = 99.4238161970793
x91 = 33.4503704716936
x92 = 38.484510006475
x93 = -85.9301503647185
x94 = -5.49778714378214
x95 = 49.1583337396426
x96 = -63.93900178959
x97 = -21.2057504117311
x98 = 66.7588438887831
x99 = 77.4326676219507
x100 = -35.6646679072818
x100 = -35.6646679072818