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Utiliza la calculadora para completar la siguiente tabla:

\begin{tabular}{|c|c|c|c|c|c|}
\hline
[tex]$\theta$[/tex] & [tex]$\operatorname{sen} \theta$[/tex] & [tex]$\cos \theta$[/tex] & [tex]$\tan \theta$[/tex] & [tex]$\csc \theta$[/tex] & \\
\hline
[tex]$315^{\circ}$[/tex] & & & & & \\
\hline
[tex]$95^{\circ}$[/tex] & & & & & \\
\hline
\end{tabular}

Sagot :

Vamos a completar la tabla con los valores correspondientes utilizando cálculos trigonométricos para los ángulos de [tex]\(315^\circ\)[/tex] y [tex]\(95^\circ\)[/tex].

1. Para [tex]\(\theta = 315^\circ\)[/tex]:
- [tex]\(\sin(315^\circ)\)[/tex]: El seno de [tex]\(315^\circ\)[/tex] es [tex]\(-0.7071067811865477\)[/tex].
- [tex]\(\cos(315^\circ)\)[/tex]: El coseno de [tex]\(315^\circ\)[/tex] es [tex]\(0.7071067811865474\)[/tex].
- [tex]\(\tan(315^\circ)\)[/tex]: La tangente de [tex]\(315^\circ\)[/tex] es [tex]\(-1.0000000000000004\)[/tex].
- [tex]\(\csc(315^\circ)\)[/tex]: La cosecante de [tex]\(315^\circ\)[/tex] es [tex]\(-1.4142135623730947\)[/tex].

2. Para [tex]\(\theta = 95^\circ\)[/tex]:
- [tex]\(\sin(95^\circ)\)[/tex]: El seno de [tex]\(95^\circ\)[/tex] es [tex]\(0.9961946980917455\)[/tex].
- [tex]\(\cos(95^\circ)\)[/tex]: El coseno de [tex]\(95^\circ\)[/tex] es [tex]\(-0.08715574274765824\)[/tex].
- [tex]\(\tan(95^\circ)\)[/tex]: La tangente de [tex]\(95^\circ\)[/tex] es [tex]\(-11.430052302761336\)[/tex].
- [tex]\(\csc(95^\circ)\)[/tex]: La cosecante de [tex]\(95^\circ\)[/tex] es [tex]\(1.0038198375433474\)[/tex].

Vamos a completar la tabla con estos valores:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \theta & \sin \theta & \cos \theta & \tan \theta & \csc \theta \\ \hline 315^\circ & -0.7071067811865477 & 0.7071067811865474 & -1.0000000000000004 & -1.4142135623730947 \\ \hline 95^\circ & 0.9961946980917455 & -0.08715574274765824 & -11.430052302761336 & 1.0038198375433474 \\ \hline \end{array} \][/tex]

Se han completado todos los valores necesarios para los dos ángulos dados en la tabla solicitada.
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