Problem 68 - Precalculus Essentials

Question

Use a calculator to find the value of the trigonometric function to four decimal places. $$\sin \frac{3 \pi}{10}$$

Step-by-Step Solution

Answer

The value of \( \sin \frac{3 \pi}{10} \) is approximately 0.5878.

Step 1: Understanding the Problem

The problem requires the calculation of a trigonometric function, particularly sin, for the angle represented as \( \frac{3 \pi}{10} \). Make sure your calculator is set to handle calculations in radians, not degrees.

Step 2: Performing the Calculation

Using a calculator, input \( \frac{3 \pi}{10} \) in radians and compute the value for the sin function.

Step 3: Reporting the Result

Display the result in decimal format, rounded to four decimal places.