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Cos0 __ and sin ____ Identify the quadrant of __ and findsin __

Cos0 __ and sin ____ Identify the quadrant of __ and findsin __-example-1

1 Answer

4 votes

Given


\begin{gathered} \cos\theta=-(5)/(13) \\ \sin\theta<0 \end{gathered}

To identify the quadrant of θ and the value of sinθ.

Step-by-step explanation:

It is given that,


\begin{gathered} \cos\theta=-(5)/(13) \\ \sin\theta<0 \end{gathered}

Since


\begin{gathered} \cos\theta=-(5)/(13)<0 \\ \sin\theta<0 \end{gathered}

Then, the quadrant of θ is III.

Also,


\sin\theta=-(12)/(13)

Hence, the answer option C) Quadrant: III, sinθ =-12/13.

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