Question
value of sec39 to the nerest thousands
Answers
GPT-4o mini
To find the value of \(\sec(39^\circ)\), we first need to calculate the cosine of \(39^\circ\) and then take its reciprocal:
\[
\sec(39^\circ) = \frac{1}{\cos(39^\circ)}
\]
Using a calculator:
\[
\cos(39^\circ) \approx 0.7771
\]
Therefore:
\[
\sec(39^\circ) \approx \frac{1}{0.7771} \approx 1.285
\]
When rounded to the nearest thousandths, the value is:
\[
\sec(39^\circ) \approx 1.285
\]
So, the final answer to the nearest thousandths is approximately **1.285**.
\[
\sec(39^\circ) = \frac{1}{\cos(39^\circ)}
\]
Using a calculator:
\[
\cos(39^\circ) \approx 0.7771
\]
Therefore:
\[
\sec(39^\circ) \approx \frac{1}{0.7771} \approx 1.285
\]
When rounded to the nearest thousandths, the value is:
\[
\sec(39^\circ) \approx 1.285
\]
So, the final answer to the nearest thousandths is approximately **1.285**.