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# SPQ is a straight line. We have sin RPQ = 7/25. What is sin RPS ?

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SPQ is a straight line. We have sin RPQ = 7/25. What is sin RPS ?

Jun 28, 2018

#1
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SPQ is a straight line. We have sin RPQ = 7/25. What is sin RPS ?

$$\begin{array}{|rcll|} \hline RPS &=& 180^{\circ} - RPQ \\ \sin( RPS ) &=& \sin ( 180^{\circ} - RPQ ) \\ \sin( RPS ) &=& \sin ( RPQ ) \\ \sin( RPS ) &=& \sin ( RPQ ) \quad & | \quad \sin ( RPQ ) = \dfrac{7}{25} \\ \mathbf{\sin( RPS )} & \mathbf{=} & \mathbf{ \dfrac{7}{25} } \\ \hline \end{array}$$

Jun 28, 2018