Q-21quad g_(7)quad z=1-cos alpha+i sin alpha," then "amp z=

If z = cos alpha + i sin alpha then the amplitude of z^2+barz is:

If alpha, beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha . tan beta . tan gamma and x=cos alpha+i sin alpha, y=cos beta+i sin beta and z=cos gamma+i sin gamma , then x y z=

If alpha,beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha tan beta tan gamma and x=cos alpha+i sin alpha,y=cos beta+i sin beta and z=cos gamma+i sin gamma then the value of xyz is

If z=cos alpha+i sin alpha then the amplitude of z^(2)+bar(z) is:

IF alpha , beta and gamma are angles such that tan alpha + tan beta + tan gamma = tan alpha tan beta tan gamma and x= cos alpha + i sin alpha , y = cos beta + i sin beta and z= cos gamma + i sin gamma , then xyz =

If the imaginary part of the complex number (z-1)(cos alpha-i sin alpha)+(z-1)^(-1)(cos alpha+i sin alpha) is zero,then which of the following options are correct? a) |z|=1 b) |z-1|=1 c) arg (z)=alpha d) arg (z-1)=alpha

If alpha, beta and gamma are angle such that tan alpha + tan beta+tan gamma= tan alpha tan beta tan gammaand x=cos alpha + I sin alpha, y=cos beta+ I sin beta and z= cos gamma+ I sin gamma, then the value of xyz is -

If a_(1),a_(2),a_(3)...,a_(n) are real numbers with a_(n)!=0 and cos alpha+i sin alpha is a root of z^(n)+a_(1)z^(n-1)+a_(2)z^(n-2)+...+a_(n-1)z+a_(n) then the value of a_(1)cos alpha+a_(2)cos2 alpha+a_(3)cos3 alpha+...

The area of the triangle whose vertices are represented by the complex numbers O,z and z(cos alpha + I sin alpha) (0 lt alpha lt pi) is equial to -