" I "quad (a)z=1+cos(10 pi)/(9)+i sin((10 pi)/(9))

Find the modulus,argument and the principal argument of the complex numbers: a z=1+cos((10 pi)/(9))+i sin((10 pi)/(9))(b)z=-2(cos30^(@)+i sin30^(@))

The principal value of the arg(z) and lzl of the complex number z=1+cos((11 pi)/(9))+i sin((11 pi)/(9)) are respectively

Find the incentre of a triangle formed by the lines x "cos" (pi)/(9) + y "sin" (pi)/(9) = pi, x "cos" (8pi)/(9)+ y "sin" (8pi)/(9) = pi " and x "cos" (13pi)/(9) + y "sin" ((13pi)/(9)) = pi.

Find the incentre of a triangle formed by the lines x "cos" (pi)/(9) + y "sin" (pi)/(9) = pi, x "cos" (8pi)/(9)+ y "sin" (8pi)/(9) = pi " and x "cos" (13pi)/(9) + y "sin" ((13pi)/(9)) = pi.

If z=cos((pi)/(4))+i sin((pi)/(6)), then

If z = cos (pi)/(4) + i sin (pi)/(6) , then

Find the value of sin^(-1) ( sin "" (5pi)/(9 ) cos "" (pi)/(9) + cos ""(5 pi )/(9) sin ""(pi) /(9))

If z_(1)=sqrt(2)((cos pi)/(4)+i sin((pi)/(4))) and z_(2)=sqrt(3)((cos pi)/(3)+i sin((pi)/(3))) then |z_(1)z_(2)|=