Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 8-3/5x=17
-
Equation x^2=-100
-
Equation 4^x-3*2^x=4
-
Equation x^6=-(7x+10)^3
- Express {x} in terms of y where:
- 14*x-17*y=-4
- 13*x-18*y=-16
- 1*x+18*y=-5
- -6*x-7*y=5
- Integral of d{x}:
- ctgx
- Derivative of:
-
ctgx
-
Identical expressions
- ctgx= one +2cos2x
- ctgx equally 1 plus 2 co sinus of e of 2x
- ctgx equally one plus 2 co sinus of e of 2x
-
Similar expressions
- (ctg*x+a)/(tg*x-2)=0
- ctgx=1-2cos2x
- tg(x)+ctg(x)=-2
- 4ctg(x)-5sin(x)=0
ctgx=1+2cos2x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
cot(x) = 1 + 2*cos(2*x)
$$\cot{\left(x \right)} = 2 \cos{\left(2 x \right)} + 1$$
Sum and product of roots
[src]
sum
-3*pi pi pi ----- + -- + -- 8 8 4
$$\left(- \frac{3 \pi}{8}\right) + \left(\frac{\pi}{8}\right) + \left(\frac{\pi}{4}\right)$$
=
0
$$0$$
product
-3*pi pi pi ----- * -- * -- 8 8 4
$$\left(- \frac{3 \pi}{8}\right) * \left(\frac{\pi}{8}\right) * \left(\frac{\pi}{4}\right)$$
=
3 -3*pi ------ 256
$$- \frac{3 \pi^{3}}{256}$$
Rapid solution
[src]
-3*pi
x_1 = -----
8
$$x_{1} = - \frac{3 \pi}{8}$$
pi
x_2 = --
8
$$x_{2} = \frac{\pi}{8}$$
pi
x_3 = --
4
$$x_{3} = \frac{\pi}{4}$$
Numerical answer
[src]
x1 = -32.5940237809941
x2 = 16.1006623496477
x3 = 14.5298660228528
x4 = -46.3384916404494
x5 = 69.9004365423729
x6 = 10.2101761241668
x7 = 61.6537558266997
x8 = 25.9181393921158
x9 = 80.5033117482384
x10 = 22.3838476568273
x11 = -38.8772090881737
x12 = 41.233403578366
x13 = 96.2112750161874
x14 = 52.2289778659303
x15 = -86.0010988920206
x16 = -33.7721210260903
x17 = -65.5807466436869
x18 = -99.7455667514759
x19 = 83.6449044018282
x20 = 74.2201264410589
x21 = -55.7632696012188
x22 = 45.9457925587507
x23 = 1.96349540849362
x24 = 55.3705705195201
x25 = -35.7356164345839
x26 = 270.569667290421
x27 = -70.2931356240716
x28 = -21.5984494934298
x29 = -77.7544181763474
x30 = -18.0641577581413
x31 = -24.3473430653209
x32 = -27.8816348006094
x33 = -49.872783375738
x34 = 77.3617190946487
x35 = 76.1836218495525
x36 = -11.7809724509617
x37 = 93.0696823625976
x38 = -93.8550805259951
x39 = -48.3019870489431
x40 = -7.46128255227576
x41 = -60.8683576633022
x42 = -13.7444678594553
x43 = 27.096236637212
x44 = -51.4435797025329
x45 = 82.0741080750334
x46 = -40.0553063332699
x47 = -5.89048622548086
x48 = -73.4347282776614
x49 = 66.3661448070844
x50 = 44.3749962319558
x51 = 91.8915851175014
x52 = -71.8639319508665
x53 = 32.2013246992954
x54 = -4.31968989868597
x55 = 3.92699081698724
x56 = 39.6626072515711
x57 = 88.3572933822129
x58 = -62.0464549083984
x59 = -90.3207887907066
x60 = -43.5895980685584
x61 = -79.717913584841
x62 = -57.7267650097125
x63 = 17.6714586764426
x64 = -54.5851723561227
x65 = -10.6028752058656
x66 = 23.9546439836222
x67 = -26.3108384738145
x68 = 8.24668071567321
x69 = 47.9092879672443
x70 = 30.2378292908018
x71 = 98.174770424681
x72 = 11.388273369263
x73 = -68.329640215578
x74 = -42.0188017417635
x75 = 54.1924732744239
x76 = -16.8860605130451
x77 = 33.3794219443916
x78 = 19.2422550032375
x79 = -76.5763209312512
x80 = 63.2245521534946
x81 = 99.3528676697772
x82 = -84.037603483527
x83 = 58.5121631731099
x84 = 60.0829594999048
x85 = 5.10508806208341
x86 = 38.0918109247762
x87 = -29.4524311274043
x88 = -87.5718952188155
x89 = -96.6039740978861
x90 = -64.009950316892
x91 = 89.9280897090078
x92 = 67.9369411338793
x93 = 71.0785337874691
x94 = -98.5674695063798
x95 = 49.0873852123405
x96 = -92.2842841992002
x97 = -20.0276531666349
x98 = -82.8595062384308
x99 = 36.5210145979813
x99 = 36.5210145979813
The graph