Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation ctg(x)=-1
- Equation log3(x2–3x–5)=log3(7–2x)
-
Equation ctg3x=-√3/3
-
Equation y•(300:100)=720:9
- Express {x} in terms of y where:
- 60x^2y+75x^2y^2+120xy^260x2y+75x2y2+120xy2приx=-0,5x=−0,5,y=0,4y=0,4.
- (x-17)^2+(y+26)^2=16(x−17)2+(y+26)2=16.
- 5*x-5*y=20
- 8*x-7*y=-13
- Derivative of:
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ctg(x)
-
-1
- Integral of d{x}:
-
ctg(x)
-
-1
- Graphing y =:
- ctg(x)
- Sum of series:
-
-1
-
Identical expressions
- ctg(x)=- one
- ctg(x) equally minus 1
- ctg(x) equally minus one
- ctgx=-1
-
Similar expressions
- ctg(x)=+1
- ctgx=1
- 2tgx–9ctgx+3=0
ctg(x)=-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = -1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{acot}{\left(-1 \right)}$$
Or
$$x = \pi n - \frac{\pi}{4}$$
, where n - is a integer
$$\cot{\left(x \right)} = -1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{acot}{\left(-1 \right)}$$
Or
$$x = \pi n - \frac{\pi}{4}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-pi ---- 4
$$\left(- \frac{\pi}{4}\right)$$
=
-pi ---- 4
$$- \frac{\pi}{4}$$
product
-pi ---- 4
$$\left(- \frac{\pi}{4}\right)$$
=
-pi ---- 4
$$- \frac{\pi}{4}$$
Numerical answer
[src]
x1 = 93.4623814442964
x2 = 30.6305283725005
x3 = 87.1791961371168
x4 = -85.6083998103219
x5 = 65.1880475619882
x6 = 40.0553063332699
x7 = -7.06858347057703
x8 = -35.3429173528852
x9 = -51.0508806208341
x10 = -22.776546738526
x11 = 33.7721210260903
x12 = -95.0331777710912
x13 = -66.7588438887831
x14 = 43.1968989868597
x15 = -88.7499924639117
x16 = -44.7676953136546
x17 = 8.63937979737193
x18 = 14.9225651045515
x19 = -73.0420291959627
x20 = 68.329640215578
x21 = -19.6349540849362
x22 = -16.4933614313464
x23 = 90.3207887907066
x24 = -13.3517687777566
x25 = -38.484510006475
x26 = 84.037603483527
x27 = -82.4668071567321
x28 = -47.9092879672443
x29 = 71.4712328691678
x30 = -3.92699081698724
x31 = 52.621676947629
x32 = 11.7809724509617
x33 = -29.0597320457056
x34 = -98.174770424681
x35 = 55.7632696012188
x36 = -79.3252145031423
x37 = -63.6172512351933
x38 = -57.3340659280137
x39 = 46.3384916404494
x40 = 99.7455667514759
x41 = 24.3473430653209
x42 = 77.7544181763474
x43 = 18.0641577581413
x44 = 96.6039740978861
x45 = -10.2101761241668
x46 = 74.6128255227576
x47 = 49.4800842940392
x48 = -91.8915851175014
x49 = -60.4756585816035
x50 = -41.6261026600648
x51 = 58.9048622548086
x52 = -54.1924732744239
x53 = 27.4889357189107
x54 = -76.1836218495525
x55 = -69.9004365423729
x56 = -0.785398163397448
x57 = 36.9137136796801
x58 = 5.49778714378214
x59 = 21.2057504117311
x60 = -25.9181393921158
x61 = 62.0464549083984
x62 = 2.35619449019234
x63 = 80.8960108299372
x64 = -32.2013246992954
x64 = -32.2013246992954
The graph