If `x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3))` then x+y+z is (a)1 (b) 0 (c) `-1` (d) none of these

If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3))), then x+y+z=

If xcostheta=ycos(theta+(2pi)/(3))=zcos(theta+(4pi)/(3)) , then (1)/(x)+(1)/(y)+(1)/(z)=?

If x*cos theta=y*cos(theta+(2 pi)/(3))=2*cos(theta+(4 pi)/(3)) then evaluate xy+yz+zx

If x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3)), prove that xy+yz+zx=0

If x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3)), then write the value of (1)/(x)+(1)/(y)=(1)/(z)

If frac {x}{cos theta} = frac {y}{cos(theta -2pi/3)} = frac {z}{cos(theta +2pi/3)} then x + y + z is equal to

the value of cos^(2)theta+cos^(2)((2 pi)/(3)-theta)+cos^(2)((2 pi)/(3)+theta) is (a) 3 (b) (1)/(2)(c)(3)/(2) (d)none of these