Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 4x-x^2=x^2-x+3
-
Equation (x-4)/x=(2*x+10)/(x+4)
-
Equation x+1/3=x-1/2
-
Equation |x|=4
- Express {x} in terms of y where:
- -20*x-20*y=-18
- -2*x-5*y=-12
- -3*x-13*y=-7
- -11*x-16*y=-13
- Integral of d{x}:
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tgx
- Derivative of:
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tgx
- Graphing y =:
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tgx
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Identical expressions
- tgx= zero , twenty-seven
- tgx equally 0,27
- tgx equally zero , twenty minus seven
- tgx=O,27
-
Similar expressions
- (2*sin(x)^2-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0
- 3tg(x)=2cos(x)
tgx=0,27 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{27}{100}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{27}{100} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{27}{100} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{27}{100}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{27}{100} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{27}{100} \right)}$$
, where n - is a integer
Rapid solution
[src]
/ 27\
x1 = atan|---|
\100/
$$x_{1} = \operatorname{atan}{\left(\frac{27}{100} \right)}$$
x1 = atan(27/100)
Sum and product of roots
[src]
sum
/ 27\
atan|---|
\100/
$$\operatorname{atan}{\left(\frac{27}{100} \right)}$$
=
/ 27\
atan|---|
\100/
$$\operatorname{atan}{\left(\frac{27}{100} \right)}$$
product
/ 27\
atan|---|
\100/
$$\operatorname{atan}{\left(\frac{27}{100} \right)}$$
=
/ 27\
atan|---|
\100/
$$\operatorname{atan}{\left(\frac{27}{100} \right)}$$
atan(27/100)
Numerical answer
[src]
x1 = 88.2283061349765
x2 = 81.9451208277969
x3 = -31.1522147014357
x4 = 34.82123102395
x5 = -84.5592898124622
x6 = 56.8123795990785
x7 = -34.2938073550255
x8 = -28.0106220478459
x9 = -71.992919198103
x10 = 41.1044163311296
x11 = 19.113267756001
x12 = -9.16106612630711
x13 = 47.3876016383092
x14 = 72.5203428670275
x15 = -56.284955930154
x16 = 3.40530448805206
x17 = 75.6619355206173
x18 = -90.8424751196417
x19 = -40.576992662205
x20 = 69.3787502134377
x21 = -100.267253080411
x22 = -87.700882466052
x23 = -46.8601779693846
x24 = -97.1256604268213
x25 = 25.3964530631806
x26 = -93.9840677732315
x27 = -75.1345118516928
x28 = 85.0867134813867
x29 = 59.9539722526683
x30 = 78.8035281742071
x31 = 9.68848979523165
x32 = -24.8690293942561
x33 = -78.2761045052826
x34 = -81.4176971588724
x35 = 66.2371575598479
x36 = 12.8300824488214
x37 = 15.9716751024112
x38 = -15.4442514334867
x39 = 50.529194291899
x40 = -6.01947347271732
x41 = 94.5114914421561
x42 = 28.5380457167704
x43 = -43.7185853157948
x44 = 53.6707869454888
x45 = -2.87788081912753
x46 = 63.0955649062581
x47 = -12.3026587798969
x48 = 6.54689714164185
x49 = -37.4354000086153
x50 = 91.3698987885663
x51 = -59.4265485837438
x52 = 37.9628236775398
x53 = 22.2548604095908
x54 = -21.7274367406663
x55 = -68.8513265445132
x56 = -53.1433632765642
x57 = 0.263711834462266
x58 = 31.6796383703602
x59 = -18.5858440870765
x60 = -65.7097338909234
x61 = -50.0017706229744
x62 = 44.2460089847194
x63 = 100.794676749336
x64 = -62.5681412373336
x65 = 97.6530840957459
x65 = 97.6530840957459