Question

Calcule o seno o cosseno e a tangente do arco de 2010°

Answer 1

Resposta:

2010° = 5. 360° + 210°

As 5 voltas de 360° podem ser desprezadas.

sen2010° = sen210° = - sen(210° - 180°) = -sen30°

cos2010° = cos210° = -cos(210° - 180°) = -cos30°

tg2010° = tg210° = tg(210° - 180°) = tg30°

$sen2010\°=-sen30\°=-\frac{1}{2} \\\\cos210\°=-cos30\°=-\frac{\sqrt{3} }{2} \\\\tg210\°=tg30\°=\frac{\sqrt{3} }{3}$