Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation ctgx=0
-
Equation (sin2Пx)/(4x-1)=1/(4x-1)
- Equation 2x^3-50x=0
- Equation lg²x+2lgx=8
- Express {x} in terms of y where:
- (x^2+y^2-1)^3+x^2*y^3=0
- 4*x-16*y=6
- -1*x-19*y=-10
- 5*x+5*y=20
- Integral of d{x}:
- ctgx
- Derivative of:
-
ctgx
-
Identical expressions
- ctgx= zero
- ctgx equally 0
- ctgx equally zero
- ctgx=O
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Similar expressions
- ctg(x)=-sqrt3/3
- ctg(x)=-5
- (arcctg(x)-arctg(x))x^2-2x+arcctg(x)-arctg(x)
ctgx=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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:
$$\cot{\left(x \right)} = 0$$
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:
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
Numerical answer
[src]
x1 = -76.9690200129499
x2 = -17.2787595947439
x3 = 95.8185759344887
x4 = -70.6858347057703
x5 = 86.3937979737193
x6 = -4.71238898038469
x7 = 76.9690200129499
x8 = -36.1283155162826
x9 = 42.4115008234622
x10 = -23.5619449019235
x11 = -61.261056745001
x12 = -92.6769832808989
x13 = -39.2699081698724
x14 = -89.5353906273091
x15 = 64.4026493985908
x16 = 1.5707963267949
x17 = 20.4203522483337
x18 = -58.1194640914112
x19 = -32.9867228626928
x20 = -83.2522053201295
x21 = 92.6769832808989
x22 = 26.7035375555132
x23 = -20.4203522483337
x24 = -42.4115008234622
x25 = 61.261056745001
x26 = -51.8362787842316
x27 = -29.845130209103
x28 = 70.6858347057703
x29 = -10.9955742875643
x30 = -14.1371669411541
x31 = 98.9601685880785
x32 = 32.9867228626928
x33 = 67.5442420521806
x34 = -26.7035375555132
x35 = -80.1106126665397
x36 = 83.2522053201295
x37 = -64.4026493985908
x38 = -73.8274273593601
x39 = 45.553093477052
x40 = -48.6946861306418
x41 = -1.5707963267949
x42 = 23.5619449019235
x43 = 51.8362787842316
x44 = -95.8185759344887
x45 = 10.9955742875643
x46 = 36.1283155162826
x47 = 48.6946861306418
x48 = 80.1106126665397
x49 = 17.2787595947439
x50 = 58.1194640914112
x51 = 4.71238898038469
x52 = 39.2699081698724
x53 = -54.9778714378214
x54 = -86.3937979737193
x55 = -7.85398163397448
x56 = 7.85398163397448
x57 = 14.1371669411541
x58 = -98.9601685880785
x59 = 89.5353906273091
x60 = 73.8274273593601
x61 = 29.845130209103
x62 = -45.553093477052
x63 = -67.5442420521806
x64 = 54.9778714378214
x64 = 54.9778714378214
The graph