Convert $40^{\circ} 20'$ into radian measure.

Question

Accepted Answer

We know that $1^{\circ} = 60'$. Therefore, $20' = \frac{20}{60}^{\circ} = \left(\frac{1}{3}ight)^{\circ}$. Thus, $40^{\circ} 20' = 40\frac{1}{3}^{\circ} = \frac{121}{3}^{\circ}$. To convert degrees to radians, we multiply by $\frac{\pi}{180}$. So, $\frac{121}{3} 	imes \frac{\pi}{180} = \frac{121\pi}{540}$ radians.

Trigonometric Functions

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