Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation -3x-9=2x
-
Equation x^2+6=0
-
Equation (3x-8)^2-(4x-6)^2+(5x-2)(5x+2)=96
-
Equation x^2+12x+36=0
- Express {x} in terms of y where:
- -19*x+1*y=0
- 9*x+17*y=13
- -1*x+4*y=-10
- -18*x+12*y=-8
- Derivative of:
-
tg(x)
-
sqrt2
- Graphing y =:
- tg(x)
- Integral of d{x}:
-
tg(x)
-
sqrt2
- sqrt2
-
Identical expressions
- tg(x)=sqrt2
- tg(x) equally square root of 2
- tg(x)=√2
- tgx=sqrt2
-
Similar expressions
- (1-tg(x/2))/(1-ctg(x/2))=2sin(x/2)
- cos((pi*(4x+60))/4)=-(sqrt(2)/2)
- cos(pi(4×x+108)/4)=-sqrt(2)/2
- cos2x-5*sqrt(2)*cosx-5=0
- 2*sqrt(2)*cos((x-pi)/4)+1=2*sin(x)
tg(x)=sqrt2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \sqrt{2}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\sqrt{2} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\sqrt{2} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \sqrt{2}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\sqrt{2} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\sqrt{2} \right)}$$
, where n - is a integer
Rapid solution
[src]
/ ___\ x1 = atan\\/ 2 /
$$x_{1} = \operatorname{atan}{\left(\sqrt{2} \right)}$$
x1 = atan(sqrt(2))
Sum and product of roots
[src]
sum
/ ___\ atan\\/ 2 /
$$\operatorname{atan}{\left(\sqrt{2} \right)}$$
=
/ ___\ atan\\/ 2 /
$$\operatorname{atan}{\left(\sqrt{2} \right)}$$
product
/ ___\ atan\\/ 2 /
$$\operatorname{atan}{\left(\sqrt{2} \right)}$$
=
/ ___\ atan\\/ 2 /
$$\operatorname{atan}{\left(\sqrt{2} \right)}$$
atan(sqrt(2))
Numerical answer
[src]
x1 = 70.0703549971
x2 = -93.2924629895693
x3 = 54.362391729151
x4 = -49.3101658393122
x5 = 76.3535403042795
x6 = -90.1508703359795
x7 = -74.4429070680305
x8 = -52.451758492902
x9 = 88.9199109186387
x10 = 0.955316618124509
x11 = -61.8765364536714
x12 = 101.486281532998
x13 = 35.5128358076122
x14 = -36.743795224953
x15 = 66.9287623435102
x16 = 44.9376137683816
x17 = -17.8942393034142
x18 = 29.2296505004326
x19 = -27.3190172641836
x20 = 26.0880578468429
x21 = -99.5756482967489
x22 = 95.2030962258183
x23 = -14.7526466498245
x24 = 79.4951329578693
x25 = 32.3712431540224
x26 = -58.7349438000816
x27 = -65.0181291072611
x28 = -55.5933511464918
x29 = 13.5216872324837
x30 = 98.3446888794081
x31 = 48.0792064219714
x32 = 92.0615035722285
x33 = -46.1685731857224
x34 = 51.2207990755612
x35 = -33.6022025713632
x36 = -30.4606099177734
x37 = -83.8676850287999
x38 = -5.32786868905508
x39 = -96.4340556431591
x40 = 60.6455770363306
x41 = 7.2385019253041
x42 = 57.5039843827408
x43 = 41.7960211147918
x44 = -43.0269805321326
x45 = 19.8048725396633
x46 = -24.1774246105938
x47 = -2.18627603546528
x48 = -71.3013144144407
x49 = 38.654428461202
x50 = -8.46946134264487
x51 = -77.5844997216203
x52 = -11.6110539962347
x53 = 16.6632798860735
x54 = 4.0969092717143
x55 = -68.1597217608509
x56 = -80.7260923752101
x57 = -87.0092776823897
x58 = 10.3800945788939
x59 = -21.035831957004
x60 = 73.2119476506898
x61 = -39.8853878785428
x62 = 63.7871696899204
x63 = 22.9464651932531
x64 = 82.6367256114591
x65 = 85.7783182650489
x65 = 85.7783182650489