Question

Qual a primeira determinação positiva de um arco de 4536° ? a) 12 . 2π + π b) 12 . 2π + 2π/3 c) 12 . 2π + π/3 d) 12 . 2π + 6π/5 e) 12 . 2π + π/5​

Answer 1

$\large\boxed{\begin{array}{l}\rm4536^\circ=\dfrac{4536\div36}{180\div36}\pi\,rad=\dfrac{126}{5}\pi\,rad\\\\\rm\dfrac{126}{5}\pi=\dfrac{120}{5}\pi+\dfrac{6}{5}\pi=12\cdot2\pi+\dfrac{6\pi}{5}\\\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{alternativa~d}}}}}\end{array}}$