If `tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t h e n` `x+y+z-x y z=0` `x+y+z+x y z=0` `x y+y z+z x+1=0` `x y+y z+z x-1=0`

If tan^(-1) x + tan^(-1)y + tan^(-1)z= pi then x + y + z is equal to

If tan^(- 1)x+tan^(- 1)y+tan^(- 1)z=pi prove that x+y+z=xyz

If tan^(- 1)x+tan^(- 1)y+tan^(- 1)z=pi prove that x+y+z=xyz

If x+y+z=xyz , then tan^(-1)x+tan^(-1)y+tan^(-1)z=

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^2+y^2+z^2+2x y z=0 x^2+y^2+z^2+x y z=1 x^2+y^2+z^2+2x y z=1

If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y+z is also equal to 1/x+1/y+1/z (b) x y z x y+y z+z x (d) none of these

If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y+z is also equal to 1/x+1/y+1/z (b) x y z x y+y z+z x (d) none of these

If x,y,z are in AP and tan^(-1)x,tan^(-1)y,tan^(-1)z are also in AP, then

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if x+y+z=xyz , then

For 0 < varphigeqpi/2,ifx=sum_(n=0)^oocos^(2n)varphi,y=sum_(n=0)^oosin^(2n)varphi,t h e n (a) x y z=x z+y (b) x y z=x y+z (c) x y z=x+y+z (d) x y z=y z+x