[" 22.The number of all possible values of "theta," where "0

The number of all possible values of theta, where 0

The number of all possible values of theta , where 0 lt theta lt pi , for which the system of equations (y+z)cos 3 theta =(xyz) sin 3 theta ,x sin 3 theta =(2cos3theta)/y+(2sin3theta)/z and (x y z)sin3theta=(y+2z)cos3theta+ysin3theta have a solution (x_0,y_0,z_0) wiith y_0 z_0 !=0 is

The number of all possible values of theta , where 0 lt theta lt pi , for which the system of equations (y+z) cos 3 theta = (xyz) sin 3 theta x sin 3 theta=(2 cos 3 theta)/y+(2 sin 3 theta)/z (xyz) sin 3 theta = (y+2z) cos 3 theta +y sin 3 theta has a solution (x_(0), y_(0), z_(0)) with y_(0)z_(0) ne 0 is _______.

The number of all possible values of theta where 0 lt theta lt pi for which the system of equations (y+z)cos 3 theta=(xyz)sin 3theta, x sin 3 theta=(2cos 3theta)/y+(2sin 3 theta)/y, (xyz) sin 3theta=(y+2z)cos 3 theta+y sin 3 theta has a solution (x_(0),y_(0),z_(0)) with y_(0)z_(0)!=0 is

The number of all possible values of theta, where, for which the system of equations (y+z)cos3theta=(x y z)sin3theta xsin3theta=(2cos3theta)/y+(2sin3theta)/z (x y z)sin3theta=(y+2z)cos3theta+ysin3theta has a solution (x_0,y_0,z_0) with y_0z_0!=0 is

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )