Question 4.1.2: Converting from Degrees to Radians Convert each angle in deg...
Converting from Degrees to Radians
Convert each angle in degrees to radians:
a. 30° b. 90° c. –135°.
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To convert degrees to radians, multiply by \frac{\pi \text { radians }}{180^{\circ}}. Observe how the degree units cancel.
a. 30^{\circ}=30^{\cancel{\circ}} \cdot \frac{\pi \text { radians }}{180^{\cancel{\circ}}}=\frac{30 \pi}{180} \text { radians }=\frac{\pi}{6} \text { radians }
b. 90^{\circ}=90^{\cancel{\circ}} \cdot \frac{\pi \text { radians }}{180^{\cancel{\circ}}}=\frac{90 \pi}{180} \text { radians }=\frac{\pi}{2} \text { radians }
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