Question

O VALOR DA EXPRESSAO ABAIXO EQUIVALE A 2SEN.\pi/3-5.COS 5\pi/3

Answer 1

Resposta:

$2 \times \sin( \frac{\pi}{3} ) - 5 \times \cos( \frac{\pi}{3} ) = \\ 2 \times \sin( \frac{180}{3} ) - 5 \times \cos( \frac{180}{3} ) = \\ 2 \times \sin(60) - 5 \times \cos(60) = \\ 2 \times \frac{ \sqrt{3} }{2} - 5 \times \frac{1}{2} = \\ \frac{2 \sqrt{3} }{2} - \frac{5}{2} = \\ \sqrt{3} - \frac{5}{2} = \frac{2 \sqrt{3} - 5 }{2}$