Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation |x|=-2
- Equation x+y-3=0
-
Equation 2^x=6-x
-
Equation 80-x=9*5
- Express {x} in terms of y where:
- 7*x-2*y=18
- -1*x-6*y=18
- 6*x-19*y=-18
- 10*x-5*y=3
-
Identical expressions
- three *tg(x)- three *ctg(x)= eight
- 3 multiply by tg(x) minus 3 multiply by ctg(x) equally 8
- three multiply by tg(x) minus three multiply by ctg(x) equally eight
- 3tg(x)-3ctg(x)=8
- 3tgx-3ctgx=8
-
Similar expressions
- 3*tg(x)+3*ctg(x)=8
3*tg(x)-3*ctg(x)=8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3*tan(x) - 3*cot(x) = 8
$$3 \tan{\left(x \right)} - 3 \cot{\left(x \right)} = 8$$
Rapid solution
[src]
x1 = -atan(1/3)
$$x_{1} = - \operatorname{atan}{\left(\frac{1}{3} \right)}$$
x2 = atan(3)
$$x_{2} = \operatorname{atan}{\left(3 \right)}$$
x2 = atan(3)
Sum and product of roots
[src]
sum
-atan(1/3) + atan(3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} + \operatorname{atan}{\left(3 \right)}$$
=
-atan(1/3) + atan(3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} + \operatorname{atan}{\left(3 \right)}$$
product
-atan(1/3)*atan(3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} \operatorname{atan}{\left(3 \right)}$$
=
-atan(3)*atan(1/3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} \operatorname{atan}{\left(3 \right)}$$
-atan(3)*atan(1/3)
Numerical answer
[src]
x1 = -41.162455051064
x2 = 93.9260290532972
x3 = -45.8748440314486
x4 = -97.7111228156802
x5 = -99.2819191424751
x6 = 2.81984209919315
x7 = -92.9987338352955
x8 = -71.007585260167
x9 = -52.1580293386282
x10 = -60.0120109726027
x11 = -39.5916587242691
x12 = -82.0031595477313
x13 = 49.9437319030401
x14 = -38.0208623974742
x15 = -69.4367889333721
x16 = 60.9393061906043
x17 = -53.7288256654231
x18 = -83.5739558745262
x19 = 76.6472694585533
x20 = 45.2313429226554
x21 = 89.2136400729125
x22 = -16.0297138223456
x23 = -25.454491783115
x24 = 100.209214360477
x25 = 38.9481576154758
x26 = -9.74652851516602
x27 = 34.2357686350911
x28 = 5.96143475278294
x29 = 97.067621706887
x30 = 18.5278053671421
x31 = 84.5012510925278
x32 = -77.2907705673466
x33 = 71.9348804781686
x34 = -86.715548528116
x35 = -20.7421028027303
x36 = 54.6561208834247
x37 = 12.2446200599625
x38 = 70.3640841513737
x39 = -75.7199742405517
x40 = -61.5828072993976
x41 = 24.8109906743217
x42 = -91.4279375085006
x43 = 92.3552327265023
x44 = 23.2401943475268
x45 = 90.7844363997074
x46 = 82.9304547657329
x47 = -49.0164366850384
x48 = 4.39063842598805
x49 = 67.2224914977839
x50 = 48.3729355762452
x51 = -55.299621992218
x52 = -96.1403264888853
x53 = -63.1536036261925
x54 = 32.6649723082962
x55 = 56.2269172102196
x56 = -67.8659926065772
x57 = 42.0897502690656
x58 = 64.0808988441941
x59 = 46.8021392494503
x60 = 81.359658438938
x61 = 9.10302740637274
x62 = -33.3084734170895
x63 = -42.7332513778588
x64 = -78.8615668941415
x65 = -56.8704183190129
x66 = 68.7932878245788
x67 = 40.5189539422707
x68 = -11.3173248419609
x69 = -34.8792697438844
x70 = -5.03413953478133
x71 = -23.8836954563201
x72 = -3.46334320798644
x73 = -1.89254688119154
x74 = 86.0720474193227
x75 = 26.3817870011166
x76 = 27.9525833279115
x77 = 10.6738237331676
x78 = -47.4456403582435
x79 = -8.17573218837112
x80 = -27.0252881099099
x81 = -85.1447522013211
x82 = 53.0853245566298
x83 = 31.0941759815013
x84 = -64.7243999529874
x85 = -89.8571411817058
x86 = -12.8881211687558
x87 = -19.1713064759354
x88 = 62.5101025173992
x89 = 98.6384180336818
x90 = 13.8154163867574
x91 = 37.3773612886809
x92 = 75.0764731317584
x93 = -30.1668807634997
x94 = 59.3685098638094
x95 = -31.7376770902946
x96 = -17.6005101491405
x97 = 20.098601693937
x98 = 78.2180657853482
x99 = 16.9570090403472
x100 = -74.1491779137568
x100 = -74.1491779137568