Question

. Find the radian measure of -37°30'.

Answer 1

Answer:

$\frac{ - 5\pi}{24}$

Step-by-step explanation:

=-37°30' = - (37°+30°/60) as 1° = 60min

= - (37°+1°/2)

=-(74°+1°)/2

= - 75°/2

Radian measure

$\frac{\pi}{180} \times - \frac{ - 75}{2} \\ = \frac{\pi}{36} \times \frac{ - 15}{2} \\ = \frac{\pi}{12} \times \frac{ - 5}{2} \\ = \frac{ - 5\pi}{24}$