Question

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

Answer 1

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.