Question

sabendo que 5 sen²x + cos²x=2,determine sen x e cos x?

Answer 1

$5sen^2x + cos^2x=2$
$- sen^2x -cos^2x =-1$
$4sen^2x = 1$$sen^x= \frac{1}{4} = senx =\frac{1}{2}$

$\frac{1}{4} + cos^x =1$
$cos^2x= 1- \frac{1}{4}$
$cos^2x= \frac{3}{4}$
$cosx= \frac{ \sqrt{3} }{2}$