Question

dado cossec x = -2, calcule o valor de sen x e cos x. 

Answer 1

$\boxed{Cossec\ x = \frac{1}{sen\ x}}$

$-2= \frac{1}{sen\ x}\\\\\ -2\ sen\ x = 1\\\\\ \boxed{sen\ x = -\frac{1}{2}}$

$sen^2x+cos^2x=1\\\\\ (-\frac{1}{2})^2+cos^2x=1\\\\\\ cos^2x = 1-\frac{1}{4}\\\\\ cos^2x = \frac{3}{4}\\\\\ \boxed{cos\ x = \frac{ \sqrt{3} }{2}}$