Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 4-6*(x+2)=3-5*x
-
Equation 1/(x-3)^2-3/(x-3)-4=0
-
Equation x^2-2x+1=0
-
Equation 3(x+3)=2x+5
- Express {x} in terms of y where:
- 2*x+13*y=19
- 17*x-20*y=6
- 5*x-13*y=17
- -9*x-1*y=6
- Integral of d{x}:
-
tgx
- Derivative of:
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tgx
- Graphing y =:
-
tgx
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Identical expressions
- tgx=-√ three - two
- tgx equally minus √3 minus 2
- tgx equally minus √ three minus two
-
Similar expressions
- ctg(2x)-ctg(x)=0
- tg(x/2)-√3=0
- tgx=+√3-2
- x^2-x*(2-√3)-2√3=0
- tg(x)=4
- tgx=-√3+2
tgx=-√3-2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = -2 - \sqrt{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-2 - \sqrt{3} \right)}$$
Or
$$x = \pi n - \frac{5 \pi}{12}$$
, where n - is a integer
$$\tan{\left(x \right)} = -2 - \sqrt{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-2 - \sqrt{3} \right)}$$
Or
$$x = \pi n - \frac{5 \pi}{12}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-5*pi ----- 12
$$- \frac{5 \pi}{12}$$
=
-5*pi ----- 12
$$- \frac{5 \pi}{12}$$
product
-5*pi ----- 12
$$- \frac{5 \pi}{12}$$
=
-5*pi ----- 12
$$- \frac{5 \pi}{12}$$
-5*pi/12
Numerical answer
[src]
x1 = -57.857664703612
x2 = 80.3724120543389
x3 = -7.59218224617533
x4 = -51.5744793964324
x5 = 58.3812634792103
x6 = -79.8488132787406
x7 = 52.0980781720307
x8 = -274.627557801308
x9 = 8.11578102177363
x10 = -64.1408500107916
x11 = 30.1069295969022
x12 = -73.565627971561
x13 = -86.1319985859202
x14 = 36.3901149040818
x15 = -120.689517775408
x16 = -29.5833308213039
x17 = 96.0803753222878
x18 = -23.3001455141243
x19 = 14.3989663289532
x20 = 64.6644487863899
x21 = 74.0892267471593
x22 = -13.8753675533549
x23 = -42.1497014356631
x24 = -35.8665161284835
x24 = -35.8665161284835