Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 4x^4-5x^2+1=0
-
Equation ctgx=1
-
Equation sin^2((x/4)+(pi/4))*sin^2((x/4)-(pi/4))=0,375sin^2(-(pi/4))
-
Equation 2tgx–9ctgx+3=0
- Express {x} in terms of y where:
- 5*x-5*y=20
- 8*x-7*y=-13
- 15*x-15*y=16
- 9*x+18*y=6
- Integral of d{x}:
- ctgx
- Derivative of:
-
ctgx
-
Identical expressions
- ctgx= one
- ctgx equally 1
- ctgx equally one
-
Similar expressions
- ctg(x)
- tg(x)(ctg(x)-cos(x))=2sin(2x)^2
ctgx=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 = 35.3429173528852
x2 = 51.0508806208341
x3 = -62.0464549083984
x4 = -14.9225651045515
x5 = 54.1924732744239
x6 = 76.1836218495525
x7 = -52.621676947629
x8 = -27.4889357189107
x9 = -90.3207887907066
x10 = 57.3340659280137
x11 = -74.6128255227576
x12 = -30.6305283725005
x13 = -11.7809724509617
x14 = -46.3384916404494
x15 = 66.7588438887831
x16 = -65.1880475619882
x17 = 69.9004365423729
x18 = -5.49778714378214
x19 = -49.4800842940392
x20 = 19.6349540849362
x21 = 10.2101761241668
x22 = 25.9181393921158
x23 = 13.3517687777566
x24 = 73.0420291959627
x25 = 38.484510006475
x26 = 0.785398163397448
x27 = 95.0331777710912
x28 = -84.037603483527
x29 = -80.8960108299372
x30 = 85.6083998103219
x31 = 79.3252145031423
x32 = 88.7499924639117
x33 = 7.06858347057703
x34 = -33.7721210260903
x35 = -40.0553063332699
x36 = 47.9092879672443
x37 = 22.776546738526
x38 = 98.174770424681
x39 = -96.6039740978861
x40 = -99.7455667514759
x41 = 60.4756585816035
x42 = 29.0597320457056
x43 = 41.6261026600648
x44 = -55.7632696012188
x45 = 44.7676953136546
x46 = -87.1791961371168
x47 = 82.4668071567321
x48 = -71.4712328691678
x49 = -58.9048622548086
x50 = -2.35619449019234
x51 = 91.8915851175014
x52 = 16.4933614313464
x53 = -36.9137136796801
x54 = 63.6172512351933
x55 = -68.329640215578
x56 = -21.2057504117311
x57 = 32.2013246992954
x58 = -93.4623814442964
x59 = 3.92699081698724
x60 = -77.7544181763474
x61 = -18.0641577581413
x62 = -24.3473430653209
x63 = -8.63937979737193
x64 = -43.1968989868597
x64 = -43.1968989868597
The graph