Problem

For the value of $s$ below, use a calculator to find $\sin s$ and $\cos s$ and then use the results to decide in which quadrant an angle of radians lies.
\[
s=82
\]

Answer

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Answer

Final Answer: The angle lies in the \(\boxed{first}\) quadrant.

Steps

Step 1 :Given the value of \(s = 82\) in radians.

Step 2 :Calculate the sine and cosine of \(s\).

Step 3 :Observe that \(\sin s = 0.31322878243308516\) and \(\cos s = 0.9496776978825432\).

Step 4 :Since both the sine and cosine of \(s\) are positive, the angle lies in the first quadrant.

Step 5 :Final Answer: The angle lies in the \(\boxed{first}\) quadrant.

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