Mister Exam
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How to use it?
- Equation:
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Equation tg(x)=0
-
Equation 3(4-2x)+6=-2x+4
-
Equation 12x+5(6-3x)=10-3x
- Equation 9x^2-45x=0
- Express {x} in terms of y where:
- -12*x+3*y=-9
- -10*x-16*y=-6
- 16*x+7*y=8
- -11*x+4*y=-8
- Integral of d{x}:
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tan(x/2)
- Graphing y =:
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tan(x/2)
- Limit of the function:
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tan(x/2)
-
Identical expressions
- tan(x/ two)= zero . five hundred and sixty-seven
- tangent of (x divide by 2) equally 0.567
- tangent of (x divide by two) equally zero . five hundred and sixty minus seven
- tanx/2=0.567
- tan(x/2)=O.567
- tan(x divide by 2)=0.567
-
Similar expressions
- tanx/2=√3/2
tan(x/2)=0.567 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/x\ 567 tan|-| = ---- \2/ 1000
$$\tan{\left(\frac{x}{2} \right)} = \frac{567}{1000}$$
Detail solution
Given the equation
$$\tan{\left(\frac{x}{2} \right)} = \frac{567}{1000}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
Or
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{1}{2}$$
we get the answer:
$$x_{1} = 2 \pi n + 2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
$$\tan{\left(\frac{x}{2} \right)} = \frac{567}{1000}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
Or
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{1}{2}$$
we get the answer:
$$x_{1} = 2 \pi n + 2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
Rapid solution
[src]
/567 \
x1 = 2*atan|----|
\1000/
$$x_{1} = 2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
x1 = 2*atan(567/1000)
Sum and product of roots
[src]
sum
/567 \
2*atan|----|
\1000/
$$2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
=
/567 \
2*atan|----|
\1000/
$$2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
product
/567 \
2*atan|----|
\1000/
$$2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
=
/567 \
2*atan|----|
\1000/
$$2 \operatorname{atan}{\left(\frac{567}{1000} \right)}$$
2*atan(567/1000)
Numerical answer
[src]
x1 = -30.3843239673945
x2 = 13.5979731828626
x3 = 63.8634556402993
x4 = -55.5170651961128
x5 = -61.8002505032924
x6 = -80.6498064248312
x7 = -24.1011386602149
x8 = 7.31478787568305
x9 = 38.730714411581
x10 = -93.2161770391903
x11 = -17.8179533530353
x12 = -68.083435810472
x13 = 88.9961968690177
x14 = -86.9329917320107
x15 = -74.3666211176516
x16 = -5.25158273867613
x17 = 57.5802703331197
x18 = 95.2793821761973
x19 = -11.5347680458557
x20 = -49.2338798889332
x21 = -99.4993623463699
x22 = 26.1643437972218
x23 = -36.6675092745741
x24 = 70.1466409474789
x25 = 19.8811584900422
x26 = 45.0138997187606
x27 = 51.2970850259401
x28 = 82.7130115618381
x29 = 32.4475291044014
x30 = 1.03160256850346
x31 = 101.562567483377
x32 = -42.9506945817536
x33 = 76.4298262546585
x33 = 76.4298262546585