Problem 30 - Precalculus Essentials

Question

Convert each angle in degrees to radians. Round to two decimal places. $$76^{\circ}$$

Step-by-Step Solution

Answer

The equivalent angle in radians for \(76^{\circ}\) is approximately \(1.33\) radians.

Step 1: Identify the given angle

The given angle is \(76^{\circ}\).

Step 2: Apply the equivalent relation

To convert degrees to radians, the relation to use is \(\pi \) radians equals \(180^{\circ}\). Therefore, the conversion factor is \(\pi/180\). To convert our degrees to radians, we multiply our angle by this conversion factor.

Step 3: Perform the calculation

Therefore, the equivalent angle in radians is \(76 \times (\pi/180)\) radians. Calculate the numerical value of this expression and round to two decimal places.