Problem

Find the value of $s$ in the interval $\left[0, \frac{\pi}{2}\right]$ that satisfies the given statement. $\cos s=0.7937$
$s=\square$ radians
(Round to four decimal places as needed.)

Answer

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Answer

So, the final answer is \(s=\boxed{0.6539}\) radians.

Steps

Step 1 :The problem is asking for the angle \(s\) in the interval \(\left[0, \frac{\pi}{2}\right]\) such that \(\cos s=0.7937\).

Step 2 :To find this, we can use the inverse cosine function, also known as arccos.

Step 3 :The inverse cosine of 0.7937 is approximately 0.6539288071661449 radians.

Step 4 :Rounding to four decimal places, we get \(s = 0.6539\) radians.

Step 5 :So, the final answer is \(s=\boxed{0.6539}\) radians.

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