Problem 32 - Precalculus Essentials

Question

Convert each angle in degrees to radians. Round to two decimal places. $$-50^{\circ}$$

Step-by-Step Solution

Answer

The angle \( -50^{\circ} \) equals \( -0.87 \) radians when rounded to two decimal places.

Step 1: Identify the given degree

The given degree is \( -50^{\circ} \).

Step 2: Conversion from Degrees to Radians

To convert degrees to radians, use the formula \[ Radians = Degrees * \frac{\pi}{180} \]Multiply the given degree \( -50^{\circ} \) by \( \frac{\pi}{180} \), which gives approximately \( -0.87266 \) radians.

Step 3: Round to Two Decimal Places

Round the answer to two decimal places. This gives \( -0.87 \) radians.