Question

Resolva a equação trigonométrica 2. sen x= -1

Answer 1

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$\sf2\cdot sen(x)=-1\\\sf sen(x)=-\dfrac{1}{2}\\\sf x=\dfrac{7\pi}{6}+2k\pi,k\in\mathbb{Z}\\\sf x=\dfrac{11\pi}{6}+2k\pi,k\in\mathbb{Z}$

Answer 2

✅ Após resolver os cálculos, concluímos que o valor do ângulo "x" é:

  $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = -30^{\circ} = -\frac{\pi}{6}rad\:\:\:}}\end{gathered} }$

Seja a equação trigonométrica:

      $\Large\displaystyle\begin{gathered} 2\,\sin x = -1\end{gathered}$

Resolvendo esta equação temos:

     $\Large \begin{aligned}2\,\sin x & = -1\\\sin x & = -\frac{1}{2}\\x & = \arcsin\left(-\frac{1}{2}\right)\\x & = -30^{\circ}\\x & = -\frac{\pi}{6}rad\end{aligned}$

✅ Portanto:

               $\Large\displaystyle\begin{gathered} x = -30^{\circ} = -\frac{\pi}{6}rad\end{gathered}$  

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

Saiba mais:

1. https://brainly.com.br/tarefa/27066122
2. https://brainly.com.br/tarefa/32080358