Question

Calcule a expressão abaixo

Y = sen π/3 rad – 2.sen π/6 rad
Sen 3π/2 rad – 3.sen π/2 rad

Answer 1

Oie, Td Bom?!

$y = \frac{ \sin( \frac{\pi}{3} ) - 2 \sin( \frac{\pi}{6} ) }{ \sin( \frac{3\pi}{2} ) - 3 \sin( \frac{\pi}{2} ) }$

$y = \frac{ \frac{ \sqrt{3} }{2} - 2 \: . \: \frac{1}{2} }{ - 1 - 3 \: . \: 1}$

$y = \frac{ \frac{ \sqrt{3} }{2} - 2 \: . \: \frac{1}{2} }{ - 1 - 3}$

$y = \frac{ \frac{ \sqrt{3} }{2} - 1}{ - 4}$

$y = \frac{ \frac{ \sqrt{3} - 2}{2} }{4}$

$y = - \frac{ \frac{ \sqrt{3} - 2 }{2} }{4}$

$y = - \frac{ \sqrt{3} - 2 }{8}$

Att. Makaveli1996