DempseyN206609 DempseyN206609
  • 25-10-2022
  • Mathematics
contestada

What is the value of sinθ given that (3, −7) is a point on the terminal side of θ?

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KrystianX450447 KrystianX450447
  • 25-10-2022

Solution

[tex]\begin{gathered} \text{ using pythagoras theorem} \\ \\ OB=\sqrt{OA^2+AB^2}=\sqrt{3^2+7^2}=\sqrt{58} \\ \\ \Rightarrow\sin\theta=\frac{AB}{OB}=-\frac{7}{\sqrt{58}}=-\frac{7\sqrt{58}}{58} \end{gathered}[/tex]

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