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SIN X/2=0145424

X=?

Guest Jan 6, 2015

Best Answer 

 #1
avatar+19198 
+5

SIN X/2=0.145424   X=?

$$\small{\text{
$
\begin{array}{rcl}
\sin{( \dfrac{x_1}{2} )} & = & 0.145424 \\
x_1 & = & 2*\sin^{-1}{( 0.145424 )}\\
\textcolor[rgb]{1,0,0}{ x_1} & \textcolor[rgb]{1,0,0}{=} & \textcolor[rgb]{1,0,0}{16.7236657093\ensurement{^{\circ}} }
\end{array}
$
}}$\\$
\hline
$\\$
\small{\text{
$
\begin{array}{rcl}
\sin{( \dfrac{x_1}{2} )} = \sin{( 180\ensurement{^{\circ}}- \dfrac{x_2}{2} )} & = & 0.145424 \\\\
180\ensurement{^{\circ}} - \dfrac{x_2}{2} & = & \sin^{-1}{( 0.145424 )}\\\\
180\ensurement{^{\circ}} - \dfrac{x_2}{2} & = &8.36183285464\ensurement{^{\circ}} \\
\textcolor[rgb]{1,0,0}{x_2} & \textcolor[rgb]{1,0,0}{=} & \textcolor[rgb]{1,0,0}{343.276334291\ensurement{^{\circ}} }
\end{array}
$
}}$$

heureka  Jan 6, 2015
Sort: 

1+0 Answers

 #1
avatar+19198 
+5
Best Answer

SIN X/2=0.145424   X=?

$$\small{\text{
$
\begin{array}{rcl}
\sin{( \dfrac{x_1}{2} )} & = & 0.145424 \\
x_1 & = & 2*\sin^{-1}{( 0.145424 )}\\
\textcolor[rgb]{1,0,0}{ x_1} & \textcolor[rgb]{1,0,0}{=} & \textcolor[rgb]{1,0,0}{16.7236657093\ensurement{^{\circ}} }
\end{array}
$
}}$\\$
\hline
$\\$
\small{\text{
$
\begin{array}{rcl}
\sin{( \dfrac{x_1}{2} )} = \sin{( 180\ensurement{^{\circ}}- \dfrac{x_2}{2} )} & = & 0.145424 \\\\
180\ensurement{^{\circ}} - \dfrac{x_2}{2} & = & \sin^{-1}{( 0.145424 )}\\\\
180\ensurement{^{\circ}} - \dfrac{x_2}{2} & = &8.36183285464\ensurement{^{\circ}} \\
\textcolor[rgb]{1,0,0}{x_2} & \textcolor[rgb]{1,0,0}{=} & \textcolor[rgb]{1,0,0}{343.276334291\ensurement{^{\circ}} }
\end{array}
$
}}$$

heureka  Jan 6, 2015

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