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-sinx=12/13

Guest Feb 16, 2017

Best Answer 

 #2
avatar+19603 
+10

-sinx=12/13

 

\(\begin{array}{|rcll|} \hline -\sin(x) &=& \frac{12}{13} \\ \sin(x) &=& -\frac{12}{13} \\ x_1 &=& \arcsin(-\frac{12}{13}) + z\cdot 360^{\circ} \quad & | \quad z \in Z \\ \mathbf{x_1} &\mathbf{=}& \mathbf{-67.3801350520^{\circ} + z\cdot 360^{\circ}} \\\\ \sin(x)=\sin(180^{\circ}-x) &=& -\frac{12}{13} \\ 180^{\circ}-x_2 &=& \arcsin(-\frac{12}{13}) + z\cdot 360^{\circ} \quad & | \quad z \in Z \\ x_2 &=& 180^{\circ}- \arcsin(-\frac{12}{13}) + z\cdot 360^{\circ} \\ x_2 &=& 180^{\circ}- (-67.3801350520^{\circ}) + z\cdot 360^{\circ} \\ \mathbf{x_2} &\mathbf{=}&\mathbf{ 247.380135052 + z\cdot 360^{\circ}} \\ \hline \end{array} \)

 

laugh

heureka  Feb 16, 2017
 #1
avatar+7348 
0

-sinx=12/13

 

\(-sin \ x=\frac{12}{13}\)


Enter DEG at the computer.

 

\(sin \ x=-\frac{12}{13}\)

 

\(x= arcsin -0.\overline{923076}\)

 

\(x=-1.1760\)

 

Enter RAD at the computer.

 

\(x= arcsin -0.\overline{923076}\)

 

\(x=-67.380 \ GRD\)

 

laugh  !

asinus  Feb 16, 2017
 #2
avatar+19603 
+10
Best Answer

-sinx=12/13

 

\(\begin{array}{|rcll|} \hline -\sin(x) &=& \frac{12}{13} \\ \sin(x) &=& -\frac{12}{13} \\ x_1 &=& \arcsin(-\frac{12}{13}) + z\cdot 360^{\circ} \quad & | \quad z \in Z \\ \mathbf{x_1} &\mathbf{=}& \mathbf{-67.3801350520^{\circ} + z\cdot 360^{\circ}} \\\\ \sin(x)=\sin(180^{\circ}-x) &=& -\frac{12}{13} \\ 180^{\circ}-x_2 &=& \arcsin(-\frac{12}{13}) + z\cdot 360^{\circ} \quad & | \quad z \in Z \\ x_2 &=& 180^{\circ}- \arcsin(-\frac{12}{13}) + z\cdot 360^{\circ} \\ x_2 &=& 180^{\circ}- (-67.3801350520^{\circ}) + z\cdot 360^{\circ} \\ \mathbf{x_2} &\mathbf{=}&\mathbf{ 247.380135052 + z\cdot 360^{\circ}} \\ \hline \end{array} \)

 

laugh

heureka  Feb 16, 2017

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