Question

Convert each angle to radian measure. $$ -75^{\circ} $$

Short answer

The angle \(-75^{\circ}\) in radian measure is: \((-15\pi)/36\).

Step-by-step solution

Determine Degree Measure

The given angle in degree measure is -75°.

Set Up Conversion Formula

Use the conversion formula to find the radian measure: Radian Measure = (Degree Measure × π) / 180 Plug in the given degree measure (-75°). Radian Measure = (-75 × π) / 180

Calculate Radian Measure

Now calculate the radian measure using the given values: Radian Measure = (-75 × π) / 180 Radian Measure = (-15 × π) / 36 (After simplifying the fraction) The angle in radian measure is: \((-15\pi)/36\).