Mister Exam

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tgx=-√3-2 equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

             ___    
tan(x) = - \/ 3  - 2

\tan{\left(x \right)} = -2 - \sqrt{3}

Simplify

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)}

x = \pi n - \frac{5 \pi}{12}

, where n - is a integer

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

     -5*pi
x1 = -----
       12

x_{1} = - \frac{5 \pi}{12}

x1 = -5*pi/12

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