Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (2x-4)(x-11)+28=0
- Equation 3x^2-28x+9=0
- Equation 5-8cos^2x=sin2x
- Equation sin3x+sinx-sin2x=2cos^2x-2cosx
- Express {x} in terms of y where:
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- Derivative of:
-
tg(x)
- Graphing y =:
- tg(x)
- Integral of d{x}:
-
tg(x)
-
Identical expressions
- tg(x)=sqrt3/ two
- tg(x) equally square root of 3 divide by 2
- tg(x) equally square root of 3 divide by two
- tg(x)=√3/2
- tgx=sqrt3/2
- tg(x)=sqrt3 divide by 2
-
Similar expressions
- tgx/3=sqrt(3)/3
- ctgx/3-1=0
tg(x)=sqrt3/2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{\sqrt{3}}{2}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{\sqrt{3}}{2}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
, where n - is a integer
Rapid solution
[src]
/ ___\
|\/ 3 |
x_1 = atan|-----|
\ 2 /
$$x_{1} = \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
Sum and product of roots
[src]
sum
/ ___\
|\/ 3 |
atan|-----|
\ 2 /
$$\left(\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}\right)$$
=
/ ___\
|\/ 3 |
atan|-----|
\ 2 /
$$\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
product
/ ___\
|\/ 3 |
atan|-----|
\ 2 /
$$\left(\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}\right)$$
=
/ ___\
|\/ 3 |
atan|-----|
\ 2 /
$$\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
Numerical answer
[src]
x1 = 41.5544288756121
x2 = -93.534055228749
x3 = 88.678318679459
x4 = 54.1207994899712
x5 = 82.3951333722794
x6 = -77.8260919608001
x7 = 85.5367260258692
x8 = -40.1269801177225
x9 = 10.1385023397141
x10 = -43.2685727713123
x11 = 32.1296509148427
x12 = -11.8526462354144
x13 = 76.1119480650998
x14 = -65.2597213464409
x15 = -49.5517580784919
x16 = -55.8349433856715
x17 = -74.6844993072103
x18 = 57.262392143561
x19 = -68.4013140000307
x20 = -27.5606095033634
x21 = 91.8199113330488
x22 = 63.5455774507406
x23 = -36.9853874641328
x24 = -52.6933507320817
x25 = -71.5429066536205
x26 = 66.6871701043304
x27 = 35.2712435684325
x28 = -46.4101654249021
x29 = -8.71105358182461
x30 = -96.6756478823388
x31 = 98.1030966402284
x32 = -18.135831542594
x33 = 19.5632803004835
x34 = 22.7048729540733
x35 = -87.2508699215694
x36 = 13.2800949933039
x37 = 38.4128362220223
x38 = -84.1092772679796
x39 = -58.9765360392613
x40 = -33.843794810543
x41 = -99.8172405359286
x42 = 47.8376141827917
x43 = 6.99690968612435
x44 = 16.4216876468937
x45 = 79.2535407186896
x46 = 28.9880582612529
x47 = 94.9615039866386
x48 = 50.9792068363815
x49 = 72.97035541151
x50 = -24.4190168497736
x51 = 0.713724378944766
x52 = 3.85531703253456
x53 = -80.9676846143899
x54 = 60.4039847971508
x55 = -90.3924625751592
x56 = -14.9942388890042
x57 = -21.2774241961838
x58 = -30.7022021569532
x59 = 101.244689293818
x60 = -2.42786827464503
x61 = 69.8287627579202
x62 = -62.1181286928511
x63 = 44.6960215292019
x64 = 25.8464656076631
x65 = -5.56946092823482
x65 = -5.56946092823482
The graph