Mister Exam

ctg(x)=-5 equation

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Numerical solution:

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The solution

You have entered [src]
cot(x) = -5
$$\cot{\left(x \right)} = -5$$
Detail solution
Given the equation
$$\cot{\left(x \right)} = -5$$
transform
$$\cot{\left(x \right)} + 5 = 0$$
$$\cot{\left(x \right)} + 5 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -5$$
We get the answer: w = -5
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
The graph
Sum and product of roots [src]
sum
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
=
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
product
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
=
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
-acot(5)
Rapid solution [src]
x1 = -acot(5)
$$x_{1} = - \operatorname{acot}{\left(5 \right)}$$
x1 = -acot(5)
Numerical answer [src]
x1 = -15.9053588277988
x2 = 28.0769383224583
x3 = 78.342420779895
x4 = 72.0592354727154
x5 = -9.62217352061926
x6 = -59.887655978056
x7 = 50.0680868975868
x8 = 24.9353456688685
x9 = -97.5867678211335
x10 = 2.94419709373991
x11 = 100.333569355023
x12 = -1511.30346193654
x13 = -81.8788045531845
x14 = 34.3601236296378
x15 = 56.3512722047664
x16 = 6.08578974732971
x17 = -3.33898821343967
x18 = 12.3689750545093
x19 = -56.7460633244662
x20 = -34.7549147493376
x21 = -37.8965074029274
x22 = 94.0503840478439
x22 = 94.0503840478439
The graph
ctg(x)=-5 equation