Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (2*x-6)^2-4*x^2=0
-
Equation x^3+9*x^2+27*x+27=0
-
Equation x^2-7*x+6=0
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Equation x^2+3x+1=0
- Express {x} in terms of y where:
- -20*x+6*y=-12
- -11*x+16*y=-5
- -12*x-9*y=-3
- -6*x-2*y=7
- Integral of d{x}:
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tgx
- Derivative of:
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tgx
- Graphing y =:
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tgx
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Identical expressions
- tgx=sgrt(three)
- tgx equally sgrt(3)
- tgx equally sgrt(three)
- tgx=sgrt3
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Similar expressions
- tg(x)=-2
- sgrt(3sinx)+cosx=2sin(x+π÷2)
- tg(x)-x=0.017849
tgx=sgrt(3) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \sqrt{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
Or
$$x = \pi n + \frac{\pi}{3}$$
, where n - is a integer
$$\tan{\left(x \right)} = \sqrt{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
Or
$$x = \pi n + \frac{\pi}{3}$$
, where n - is a integer
Sum and product of roots
[src]
sum
pi -- 3
$$\frac{\pi}{3}$$
=
pi -- 3
$$\frac{\pi}{3}$$
product
pi -- 3
$$\frac{\pi}{3}$$
=
pi -- 3
$$\frac{\pi}{3}$$
pi/3
Numerical answer
[src]
x1 = 1.0471975511966
x2 = 4.18879020478639
x3 = 10.471975511966
x4 = -5.23598775598299
x5 = -8.37758040957278
x6 = -2.0943951023932
x7 = 7.33038285837618
x7 = 7.33038285837618