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

User Chrisgooley
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Solution


\begin{gathered} \text{ using pythagoras theorem} \\ \\ OB=√(OA^2+AB^2)=√(3^2+7^2)=√(58) \\ \\ \Rightarrow\sin\theta=(AB)/(OB)=-(7)/(√(58))=-(7√(58))/(58) \end{gathered}

What is the value of sinθ given that (3, −7) is a point on the terminal side of θ?-example-1
User Alonso
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