Question

use a calculator to evaluate. round to 3 decimal places.
cos(\frac{5}{12}\pi)=\square
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Explanation:

Step1: Convert the angle from radians to degrees

The angle is \(\frac{5}{12}\pi\) radians. To convert to degrees, use the formula \( \text{degrees}=\text{radians}\times\frac{180}{\pi}\). So \(\frac{5}{12}\pi\times\frac{180}{\pi} = 75^{\circ}\)

Step2: Use calculator to find cosine value

Using a calculator, \(\cos(75^{\circ})\approx0.259\)

Answer:

\(0.259\)