Mister Exam

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tg(x/2-pi/3)=1 equation

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

You have entered [src]

   /x   pi\    
tan|- - --| = 1
   \2   3 /

$$\tan{\left(\frac{x}{2} - \frac{\pi}{3} \right)} = 1$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

     -5*pi
x1 = -----
       6

$$x_{1} = - \frac{5 \pi}{6}$$

x1 = -5*pi/6

Sum and product of roots [src]

sum

-5*pi
-----
  6

$$- \frac{5 \pi}{6}$$

-5*pi
-----
  6

$$- \frac{5 \pi}{6}$$

product

-5*pi
-----
  6

$$- \frac{5 \pi}{6}$$

-5*pi
-----
  6

$$- \frac{5 \pi}{6}$$

-5*pi/6

Numerical answer [src]

x1 = -90.5825881785057

x2 = -96.8657734856853

x3 = -65.4498469497874

x4 = -15.1843644923507

x5 = -84.2994028713261

x6 = 9.94837673636768

x7 = -34.0339204138894

x8 = 66.497044500984

x9 = -21.4675497995303

x10 = -40.317105721069

x11 = 35.081117965086

x12 = -2.61799387799149

x13 = 53.9306738866248

x14 = -52.8834763354282

x15 = 104.196156344061

x16 = 16.2315620435473

x17 = 41.3643032722656

x18 = 79.0634151153431

x19 = -46.6002910282486

x20 = -78.0162175641465

x21 = 22.5147473507269

x22 = 47.6474885794452

x23 = 91.6297857297023

x24 = -8.90117918517108

x25 = 72.7802298081635

x26 = 60.2138591938044

x27 = 28.7979326579064

x28 = -59.1666616426078

x29 = 3.66519142918809

x30 = -71.733032256967

x31 = -27.7507351067098

x32 = 97.9129710368819

x33 = 85.3466004225227

x33 = 85.3466004225227