Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation ctg(x)
-
Equation sin^3x+cos^3x=1
-
Equation 31+25x+2x^2=7x-9
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Equation sin(x)=sqrt2/2
- Express {x} in terms of y where:
- 9*x+18*y=6
- 15*x-15*y=16
- (x^2+y^2-1)^3+x^2*y^3=0
- 4*x-16*y=6
- Derivative of:
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ctg(x)
- Integral of d{x}:
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ctg(x)
- Graphing y =:
- ctg(x)
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Identical expressions
- ctg(x)
- ctgx
-
Similar expressions
- (ctgx+3)^2+2a^3+3a^2=(a^2+2a+3)*(ctgx+3)
- ctgx=0
ctg(x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$\cot{\left(x \right)} = 0$$
This equation is transformed to
$$x = \pi n + \operatorname{acot}{\left(0 \right)}$$
Or
$$x = \pi n + \frac{\pi}{2}$$
, where n - is a integer
$$\cot{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$\cot{\left(x \right)} = 0$$
This equation is transformed to
$$x = \pi n + \operatorname{acot}{\left(0 \right)}$$
Or
$$x = \pi n + \frac{\pi}{2}$$
, where n - is a integer
Sum and product of roots
[src]
sum
pi -- 2
$$\left(\frac{\pi}{2}\right)$$
=
pi -- 2
$$\frac{\pi}{2}$$
product
pi -- 2
$$\left(\frac{\pi}{2}\right)$$
=
pi -- 2
$$\frac{\pi}{2}$$
Numerical answer
[src]
x1 = 48.6946861306418
x2 = -54.9778714378214
x3 = 92.6769832808989
x4 = 10.9955742875643
x5 = 7.85398163397448
x6 = 1.5707963267949
x7 = -58.1194640914112
x8 = -67.5442420521806
x9 = 26.7035375555132
x10 = -45.553093477052
x11 = -36.1283155162826
x12 = -4.71238898038469
x13 = 64.4026493985908
x14 = -95.8185759344887
x15 = -7.85398163397448
x16 = -20.4203522483337
x17 = 45.553093477052
x18 = 89.5353906273091
x19 = 73.8274273593601
x20 = 61.261056745001
x21 = -76.9690200129499
x22 = 70.6858347057703
x23 = -89.5353906273091
x24 = 67.5442420521806
x25 = -48.6946861306418
x26 = 4.71238898038469
x27 = 36.1283155162826
x28 = -70.6858347057703
x29 = -42.4115008234622
x30 = 76.9690200129499
x31 = -51.8362787842316
x32 = -39.2699081698724
x33 = 54.9778714378214
x34 = -80.1106126665397
x35 = -64.4026493985908
x36 = 42.4115008234622
x37 = -10.9955742875643
x38 = 39.2699081698724
x39 = -61.261056745001
x40 = 20.4203522483337
x41 = 58.1194640914112
x42 = -14.1371669411541
x43 = 51.8362787842316
x44 = 95.8185759344887
x45 = 32.9867228626928
x46 = 98.9601685880785
x47 = -26.7035375555132
x48 = 29.845130209103
x49 = -29.845130209103
x50 = -86.3937979737193
x51 = -32.9867228626928
x52 = 80.1106126665397
x53 = -83.2522053201295
x54 = 86.3937979737193
x55 = 23.5619449019235
x56 = -1.5707963267949
x57 = -17.2787595947439
x58 = 14.1371669411541
x59 = -98.9601685880785
x60 = -23.5619449019235
x61 = -73.8274273593601
x62 = 17.2787595947439
x63 = 83.2522053201295
x64 = -92.6769832808989
x64 = -92.6769832808989
The graph