Mister Exam

cotx equation

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Numerical solution:

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The solution

You have entered [src]
cot(x) = 0
$$\cot{\left(x \right)} = 0$$
Detail solution
Given the equation
$$\cot{\left(x \right)} = 0$$
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:
The graph
Sum and product of roots [src]
sum
pi
--
2 
$$\frac{\pi}{2}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
product
pi
--
2 
$$\frac{\pi}{2}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
pi/2
Rapid solution [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
x1 = pi/2
Numerical answer [src]
x1 = 14.1371669411541
x2 = 73.8274273593601
x3 = -92.6769832808989
x4 = -48.6946861306418
x5 = 89.5353906273091
x6 = -23.5619449019235
x7 = -86.3937979737193
x8 = 39.2699081698724
x9 = -17.2787595947439
x10 = 20.4203522483337
x11 = -26.7035375555132
x12 = 61.261056745001
x13 = 42.4115008234622
x14 = -64.4026493985908
x15 = -83.2522053201295
x16 = -4.71238898038469
x17 = -42.4115008234622
x18 = -29.845130209103
x19 = 17.2787595947439
x20 = 51.8362787842316
x21 = 1.5707963267949
x22 = -67.5442420521806
x23 = -36.1283155162826
x24 = 45.553093477052
x25 = -80.1106126665397
x26 = 86.3937979737193
x27 = -73.8274273593601
x28 = 32.9867228626928
x29 = 64.4026493985908
x30 = -1.5707963267949
x31 = 95.8185759344887
x32 = -20.4203522483337
x33 = -10.9955742875643
x34 = -98.9601685880785
x35 = 92.6769832808989
x36 = 36.1283155162826
x37 = -32.9867228626928
x38 = -39.2699081698724
x39 = -58.1194640914112
x40 = -61.261056745001
x41 = 4.71238898038469
x42 = -76.9690200129499
x43 = -95.8185759344887
x44 = 48.6946861306418
x45 = -51.8362787842316
x46 = 23.5619449019235
x47 = 67.5442420521806
x48 = -14.1371669411541
x49 = 76.9690200129499
x50 = 98.9601685880785
x51 = 80.1106126665397
x52 = -7.85398163397448
x53 = 7.85398163397448
x54 = 83.2522053201295
x55 = 58.1194640914112
x56 = -45.553093477052
x57 = 70.6858347057703
x58 = 54.9778714378214
x59 = 26.7035375555132
x60 = -89.5353906273091
x61 = 10.9955742875643
x62 = -70.6858347057703
x63 = -54.9778714378214
x64 = 29.845130209103
x64 = 29.845130209103