Question

a soma dos angulos ( $\frac{ \pi }{4} + \frac{7 \pi }{6} + \frac{ \pi }{15} + \frac{ \pi }{2}$) rad,em graus é 315°?

Answer 1

$\frac{ \pi }{4} + \frac{7 \pi }{6} + \frac{ \pi }{15} + \frac{ \pi }{2} = \\ \\ mmc(4,6,15,2)=60 \\ \\ \frac{15 \pi +70 \pi +4 \pi +30 \pi }{60} = \\ \\ \frac{119 \pi }{60} \\ \\ como~~ \pi =180 \\ \\ \frac{119.(180)}{60} = \\ \\ simplificando \\ \\ \frac{119.(\not180^3)}{\not60} =119.(3)=347 ^\°$