The system of equations
`x - y cos theta + z cos 2theta =0`
`-xcostheta+y-zcostheta=0`
`x cos 2theta-ycostheta + z=0`
has non-trivial solution for `theta` equals

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

If 0lt= thetalt=pi and the system of equations x+(sin theta)y- (costheta) z =0, (cos theta ) x-y+z=0, (sin theta) x+y-z=0 has a non -trivial solution then theta is

If 0lt=thetalt=pi and the system of equations x= (sin theta)y+(cos theta)z y=z+( cos theta) x z=(sin theta ) x+y has a non-trivial solution then (8theta)/(pi) is equal to

Consider the system of equations in x, y, z as x sin3theta-y+z =0 x cos 2 theta+4 y+3 z =0 2 x+7 y+7 z =0 If this system has a non-trivial solution, then for any integer n, values of theta are given

Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, x cos 2 theta+ 4y + 3z= 0 , 2x + 7y + 7z = 0. If this system has a non-trival solution, then for integer n, values of theta are given by :

If 0lt=thetalt=pi and the system of equations x=(sin theta)y+(cos theta)z y=z+(cos theta) x z=(sin theta) x+y has a non-trivial solution then (8theta)/(pi) is equal to

If 0lt=thetalt=pi and the system of equations x=(sin theta)y+(cos theta)z y=z+(cos theta) x z=(sin theta) x+y has a non-trivial solution then (8theta)/(pi) is equal to