Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation 3x^2-28x+9=0
-
Equation 2x+5x^2-4=6+7x
- 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
- 10*x-1*y=10
- Limit of the function:
-
sqrt(3)/3
-
Identical expressions
- tan(pi*(4x- eighteen)/ six)=sqrt(three)/ three
- tangent of ( Pi multiply by (4x minus 18) divide by 6) equally square root of (3) divide by 3
- tangent of ( Pi multiply by (4x minus eighteen) divide by six) equally square root of (three) divide by three
- tan(pi*(4x-18)/6)=√(3)/3
- tan(pi(4x-18)/6)=sqrt(3)/3
- tanpi4x-18/6=sqrt3/3
- tan(pi*(4x-18) divide by 6)=sqrt(3) divide by 3
-
Similar expressions
- tg(x-(pi/4))=-(sqrt3)/3
- tan(pi*(4x+18)/6)=sqrt(3)/3
tan(pi*(4x-18)/6)=sqrt(3)/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___ /pi*(4*x - 18)\ \/ 3 tan|-------------| = ----- \ 6 / 3
$$\tan{\left(\frac{\pi \left(4 x - 18\right)}{6} \right)} = \frac{\sqrt{3}}{3}$$
Detail solution
Given the equation
$$\tan{\left(\frac{\pi \left(4 x - 18\right)}{6} \right)} = \frac{\sqrt{3}}{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$\frac{2 \pi x}{3} = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{3} \right)}$$
Or
$$\frac{2 \pi x}{3} = \pi n + \frac{\pi}{6}$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{2 \pi}{3}$$
we get the answer:
$$x_{1} = \frac{3 \left(\pi n + \frac{\pi}{6}\right)}{2 \pi}$$
$$\tan{\left(\frac{\pi \left(4 x - 18\right)}{6} \right)} = \frac{\sqrt{3}}{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$\frac{2 \pi x}{3} = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{3} \right)}$$
Or
$$\frac{2 \pi x}{3} = \pi n + \frac{\pi}{6}$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{2 \pi}{3}$$
we get the answer:
$$x_{1} = \frac{3 \left(\pi n + \frac{\pi}{6}\right)}{2 \pi}$$
Sum and product of roots
[src]
sum
1/4
$$\left(\frac{1}{4}\right)$$
=
1/4
$$\frac{1}{4}$$
product
1/4
$$\left(\frac{1}{4}\right)$$
=
1/4
$$\frac{1}{4}$$
Numerical answer
[src]
x1 = -23.75
x2 = 90.25
x3 = -79.25
x4 = -55.25
x5 = -17.75
x6 = 42.25
x7 = 24.25
x8 = -95.75
x9 = 94.75
x10 = -41.75
x11 = -7.25
x12 = -19.25
x13 = -97.25
x14 = 36.25
x15 = -91.25
x16 = 16.75
x17 = -53.75
x18 = -59.75
x19 = -71.75
x20 = -5.75
x21 = 66.25
x22 = 72.25
x23 = 0.25
x24 = 60.25
x25 = -11.75
x26 = -43.25
x27 = 100.75
x28 = 64.75
x29 = 54.25
x30 = -47.75
x31 = 18.25
x32 = 58.75
x33 = 82.75
x34 = -89.75
x35 = -49.25
x36 = 96.25
x37 = 12.25
x38 = 70.75
x39 = -31.25
x40 = -13.25
x41 = 34.75
x42 = -85.25
x43 = -77.75
x44 = -29.75
x45 = 78.25
x46 = 46.75
x47 = -73.25
x48 = 76.75
x49 = 88.75
x50 = 10.75
x51 = -37.25
x52 = -1.25
x53 = 22.75
x54 = -61.25
x55 = -25.25
x56 = 84.25
x57 = -67.25
x58 = 52.75
x59 = -65.75
x60 = 30.25
x61 = 48.25
x62 = 6.25
x63 = -35.75
x64 = 40.75
x65 = -83.75
x66 = 4.75
x67 = 28.75
x67 = 28.75
The graph