Question

Determine k de modo que exista o valor de sen (x) = 2K + 3. *



= {∈ /−4 ≤ k ≤−2 }

= {∈ /− ≤ k ≤− }

= {∈ /1 ≤ k ≤ 2 }

= {∈ /2 ≤ k ≤ 4 }

N.D.A.

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Answer 1

$\large\boxed{\begin{array}{l}\sf sen(x)=2k+3\\\sf \exists~sen(x)\Longleftrightarrow -1\leqslant sen(x)\leqslant1\\\sf -1\leqslant2k+3\leqslant1\\\sf -1-3\leqslant2k\leqslant1-3\\\sf -4\leqslant 2k\leqslant-2\\\sf -\dfrac{4}{2}\leqslant k\leqslant-\dfrac{2}{2}\\\sf -2\leqslant k\leqslant-1 \end{array}}$