Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin2x=-1
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Equation sqrt(x-1)=3-x
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Equation sin3x=1
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Equation cot(x)=1
- Express {x} in terms of y where:
- 12*x+14*y=-15
- 4*x-7*y=4
- -6*x-12*y=9
- -10*x-18*y=6
- Derivative of:
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cot(x)
- Integral of d{x}:
- cot(x)
- Limit of the function:
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cot(x)
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Identical expressions
- cot(x)= one
- cotangent of (x) equally 1
- cotangent of (x) equally one
- cotx=1
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Similar expressions
- cot((x-3*pi)/4)=(-1)/sqrt(3)
- cot(x+pi/3)=-1
- sinx+cosx/sinx=2cotx
cot(x)=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = 1$$
transform
$$\cot{\left(x \right)} - 1 = 0$$
$$\cot{\left(x \right)} - 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\cot{\left(x \right)} = 1$$
transform
$$\cot{\left(x \right)} - 1 = 0$$
$$\cot{\left(x \right)} - 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
product
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
pi/4
Numerical answer
[src]
x1 = -40.0553063332699
x2 = 95.0331777710912
x3 = 32.2013246992954
x4 = -49.4800842940392
x5 = 69.9004365423729
x6 = 38.484510006475
x7 = 85.6083998103219
x8 = -93.4623814442964
x9 = -27.4889357189107
x10 = 76.1836218495525
x11 = -14.9225651045515
x12 = 66.7588438887831
x13 = -18.0641577581413
x14 = -8.63937979737193
x15 = -46.3384916404494
x16 = 51.0508806208341
x17 = -71.4712328691678
x18 = -87.1791961371168
x19 = 3.92699081698724
x20 = -21.2057504117311
x21 = 73.0420291959627
x22 = 54.1924732744239
x23 = 16.4933614313464
x24 = 7.06858347057703
x25 = -65.1880475619882
x26 = 60.4756585816035
x27 = 44.7676953136546
x28 = -99.7455667514759
x29 = 13.3517687777566
x30 = 10.2101761241668
x31 = 29.0597320457056
x32 = -68.329640215578
x33 = -2.35619449019234
x34 = 41.6261026600648
x35 = 91.8915851175014
x36 = -24.3473430653209
x37 = -5.49778714378214
x38 = -96.6039740978861
x39 = 82.4668071567321
x40 = 0.785398163397448
x41 = 25.9181393921158
x42 = 98.174770424681
x43 = 57.3340659280137
x44 = -58.9048622548086
x45 = -30.6305283725005
x46 = 35.3429173528852
x47 = -84.037603483527
x48 = -52.621676947629
x49 = -36.9137136796801
x50 = -90.3207887907066
x51 = 22.776546738526
x52 = -77.7544181763474
x53 = -80.8960108299372
x54 = 88.7499924639117
x55 = -33.7721210260903
x56 = -55.7632696012188
x57 = -62.0464549083984
x58 = -43.1968989868597
x59 = 19.6349540849362
x60 = 79.3252145031423
x61 = 47.9092879672443
x62 = -74.6128255227576
x63 = 63.6172512351933
x64 = -11.7809724509617
x64 = -11.7809724509617
The graph