If z = x + iy lies in the third quadrant, then prove that `(barz)/(z)` also lies in the third quadrant when `y lt x lt 0`

If z=x+ iy lies in the third quadrant then, (barz)/(z) also lies in the third quadrant if

If z =x +iy lies in the third quadrant then (barz)/(z) also lies in third quadrant if (i) x gt y gt 0 (ii) x lt y lt 0 (iii) y lt x lt 0 (iv) y gt x gt 0

If -barz lies in the third quadrant then z lies in the :

cot x = 3/4,x lies in third quadrant.

cos x =- 1/2, x lies in third quadrant.

If tan x=3/4 and x lies in the third quadrant, find cos x

If z = a + ib lies in III quadrant then (bar(z))/(z) also lies in the III quadrant if