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SIN X/2=0145424

X=?

 Jan 6, 2015

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 #1
avatar+26396 
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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} $ }}

 Jan 6, 2015
 #1
avatar+26396 
+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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