Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 1+sin(x)=0
-
Equation tg(x)=1
-
Equation x^4+4=0
-
Equation -x-4+5(x+3)=5(-1-x)-2
- Express {x} in terms of y where:
- 4*x+2*y=5
- 1*x+10*y=-18
- -18*x-2*y=9
- -11*x+9*y=-20
- Derivative of:
-
tg(x)
- Graphing y =:
- tg(x)
- Integral of d{x}:
-
tg(x)
-
Identical expressions
- tg(x)= one
- tg(x) equally 1
- tg(x) equally one
- tgx=1
-
Similar expressions
- tgx=-√3-2
- tg(x/2)-√3=0
- (5sinx−5)(tgx−1)=0
tg(x)=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = 1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Or
$$x = \pi n + \frac{\pi}{4}$$
, where n - is a integer
$$\tan{\left(x \right)} = 1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Or
$$x = \pi n + \frac{\pi}{4}$$
, where n - is a integer
Sum and product of roots
[src]
sum
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
product
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
pi/4
Numerical answer
[src]
x1 = -40.0553063332699
x2 = 95.0331777710912
x3 = 32.2013246992954
x4 = -49.4800842940392
x5 = 69.9004365423729
x6 = 38.484510006475
x7 = 85.6083998103219
x8 = -93.4623814442964
x9 = -27.4889357189107
x10 = 76.1836218495525
x11 = -14.9225651045515
x12 = 66.7588438887831
x13 = -18.0641577581413
x14 = 101.316363078271
x15 = -8.63937979737193
x16 = -46.3384916404494
x17 = 51.0508806208341
x18 = -71.4712328691678
x19 = -87.1791961371168
x20 = 3.92699081698724
x21 = -21.2057504117311
x22 = 73.0420291959627
x23 = 54.1924732744239
x24 = 16.4933614313464
x25 = 7.06858347057703
x26 = -65.1880475619882
x27 = 60.4756585816035
x28 = 44.7676953136546
x29 = -99.7455667514759
x30 = 13.3517687777566
x31 = 10.2101761241668
x32 = 29.0597320457056
x33 = -68.329640215578
x34 = -2.35619449019234
x35 = 41.6261026600648
x36 = 91.8915851175014
x37 = -24.3473430653209
x38 = -5.49778714378214
x39 = -96.6039740978861
x40 = 82.4668071567321
x41 = 0.785398163397448
x42 = 25.9181393921158
x43 = 98.174770424681
x44 = 57.3340659280137
x45 = -58.9048622548086
x46 = -30.6305283725005
x47 = 35.3429173528852
x48 = -84.037603483527
x49 = -52.621676947629
x50 = -36.9137136796801
x51 = -90.3207887907066
x52 = 22.776546738526
x53 = -77.7544181763474
x54 = -80.8960108299372
x55 = 88.7499924639117
x56 = -33.7721210260903
x57 = -55.7632696012188
x58 = -62.0464549083984
x59 = -43.1968989868597
x60 = 19.6349540849362
x61 = 79.3252145031423
x62 = 47.9092879672443
x63 = -74.6128255227576
x64 = 63.6172512351933
x65 = -11.7809724509617
x65 = -11.7809724509617
The graph