Answer to Question #223596 in Trigonometry for alina

Question

tan x =1/2 and the terminal side of the angle is in the II quadrant ,then cos x =?

Answer 1

$tanx =\frac{1}{2} \implies x=tan^{-1}0.5\\=26.57^0\\\text{Since the terminal side of the angle is in the 2nd quadrant, we have that $x=180^0-26.57^0$}\\\implies x=153.43^0 \\\text{Hence $cosx=-0.8944$}$