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# SIN X/2=0145424 X=?

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SIN X/2=0145424

X=?

Guest Jan 6, 2015

#1
+18829
+5

SIN X/2=0.145424   X=?

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

heureka  Jan 6, 2015
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#1
+18829
+5
$$\small{\text{  \begin{array}{rcl} \sin{( \dfrac{x_1}{2} )} & = & 0.145424 \\ x_1 & = & 2*\sin^{-1}{( 0.145424 )}\\ { x_1} & {=} & {16.7236657093\ensurement{^{\circ}} } \end{array}  }}\\ \hline \\ \small{\text{  \begin{array}{rcl} \sin{( \dfrac{x_1}{2} )} = \sin{( 180\ensurement{^{\circ}}- \dfrac{x_2}{2} )} & = & 0.145424 \\\\ 180\ensurement{^{\circ}} - \dfrac{x_2}{2} & = & \sin^{-1}{( 0.145424 )}\\\\ 180\ensurement{^{\circ}} - \dfrac{x_2}{2} & = &8.36183285464\ensurement{^{\circ}} \\ {x_2} & {=} & {343.276334291\ensurement{^{\circ}} } \end{array}  }}$$