matetepassion925
matetepassion925 matetepassion925
  • 10-04-2022
  • Mathematics
contestada

solve general solutions
[tex] \sqrt{3tan \:} (2x - 10) + 1 = 0[/tex]
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Аноним Аноним
  • 10-04-2022

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]

[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]

[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]

  • 1/3=0.33..
  • tan^{-1}(0.33)≈18

[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

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