Question
Find the value of s in the interval \( \left[0, \frac{\pi}{2}\right] \) that satisfies the given statement. cos \( s=0.7433 \) a \( =\square \) radians (Round to four decimal places as nepded.)
Ask by Alexander Johnston. in the United States
Mar 01,2025
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Answer
\( a \approx 0.7328 \) radians
Solution
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Beyond the Answer
To find the value of \( s \) that satisfies \( \cos s = 0.7433 \) in the interval \( \left[0, \frac{\pi}{2}\right] \), we can use the arccosine function: \[ s = \cos^{-1}(0.7433) \] Calculating this gives: \[ s \approx 0.7331 \text{ radians} \] Thus, \( s \approx 0.7331 \) radians when rounded to four decimal places.